Cluster formation of ammonia borane (NH3BH3) driven by noncovalent H center dot center dot center dot H dihydrogen interaction is investigated at the MO6L/6311+G(d,p) level of density functional theory. For clusters containing up to six monomers, ladder, cyclic, stacked, cross-stacked, end-on, mixed and hexagonal configurations have been screened for their energetic stability. In the dimer, 7.94 kcal/mol stabilization energy per monomer (E-m) is observed. Compared to ladder and cyclic configurations, a tetramer consisting of stacked dimer units is more stable by 3.0 kcal/mol whereas a hexamer composed of hexagonally arranged monomers promoting side-on H center dot center dot center dot H interaction is more stable than a stacked configuration by 2.5 kcal/mol. The hexagonal packing of cluster is repeated to obtain (NH3BH3)(12), (NH3BH3)(18), (NH3BH3)(36), (NH3BH3)(48), and (NH3BH3)(54) clusters. The E-m 17.81 kcal/mol observed for (NH3BH3)(54) is 2.24 fold higher than the dimer, suggesting strong cooperativity in cluster growth mechanism. The zwitterionic features of NH3BH3 is characterized in terms of molecular electrostatic potential (MESP) features. During cluster formation, donation of electron density from negatively charged BH3 unit of a monomer to the positively charged NH3 unit of other interacting monomers occurs through H center dot center dot center dot H dihydrogen bonding. The extent of electron donation is revealed through the value of MESP minium (V-min) in every monomer. A strong linear correlation between the total value of V-min for a cluster (Sigma V-min) and the total stabilization energy of the cluster (E-stb) is established. Further, MESP at the nuclei of N (V-N) and B (V-B) are found to be very sensitive to the strength of H center dot center dot center dot H bonding. With respect to free NH3BH3, the total change in V-N (Sigma Delta V-N) as well as the total change in V-B (Sigma Delta V-B) in a cluster shows near-perfect linear correlation with E-stb. Further, the magnitude of the three quantities, viz. Sigma Delta V-N, Sigma Delta V-B, and E-stb is nearly same and indicates that the cluster formation of NH3BH3 is almost effectively controlled by electrostatics of dihydrogen interactions. The extended network of dihydrogen interactions observed in large clusters and the significant positive cooperativity effect of such interactions support the use of ammonia borane as a potential hydrogen storage material.