  We study some properties of the non-Abelian vacuum induced by strong external
magnetic field. We perform calculations in the quenched SU(3) lattice gauge
theory with tadpole-improved Luscher-Weisz action and chirally invariant
lattice Dirac operator. The following results are obtained: The chiral symmetry
breaking is enhanced by the magnetic field. The chiral condensate depends on
the strength of the applied field as a power function with exponent n = 1.6 +/-
0.2. There is a paramagnetic polarization of the vacuum. The corresponding
susceptibility and other magnetic properties are calculated and compared with
the theoretical estimations. There are non-zero local fluctuations of the
chirality and electromagnetic current, which grow with the magnetic field
strength. These fluctuations can be a manifestation of the Chiral Magnetic
Effect (CME).
