Metal cord (C-1) having two layers (Ci, Ce) of 3+N construction, rubberized in situ, comprising an inner layer (Ci) formed from three core wires (10) of diameter d1 wound together in a helix with a pitch p1 and an outer layer (Ce) of N wires (11) N varying from 6 to 12, of diameter d2, which are wound together in a helix with a pitch p2 around the inner layer (Ci), wherein said cord has the following characteristics (d1, d2, p1 and p2 are expressed in mm): 0.20