  We consider the minimal 3-3-1 model with three sterile neutrinos transforming
as singlet under the $SU(3)_L\otimes U(1)_X$ symmetry. This model, with or
without sterile neutrinos, predicts flavor violating interactions in both quark
and lepton sectors, since all the charged fermions mass matrices can not be
assumed diagonal in any case. Here we accommodate the lepton masses and the
Pontecorvo-Maki-Nakawaga-Sakata matrix at the same time, and as consequence the
Yukawa couplings and the unitary matrices which diagonalize the mass matrices
are not free parameters anymore. We study some phenomenological consequences,
i.e., $l_i\to l_jl_k \bar{l}_k$ and $l_i\to l_j\gamma$ which are induced by
neutral and doubly charged particles present in the model. In particular we
find that if the decay $\mu\to ee\bar{e}$ is observed in the future, the only
particle in the model that could explain this decay is the doubly charged
vector bilepton.
