The flipped 3-3-1 model discriminates lepton families instead of the quark ones in normal sense, where the left-handed leptons are in two triplets plus one sextet while the left-handed quarks are in antitriplets, under SU(3)L. We investigate a minimal setup of this model and determine novel consequences of dark matter stability, neutrino mass generation, and lepton flavor violation. Indeed, the model conserves a noncommutative B−L symmetry, which prevents the unwanted vacua and interactions and provides the matter parity and dark matter candidates that along with normal matter form gauge multiplets. The neutrinos obtain suitable masses via a type I and II seesaw mechanism. The nonuniversal couplings of Z′ with leptons govern lepton flavor violating processes such as μ → 3e, μ → e overline{nu} μνe, μ-e conversion in nuclei, semileptonic τ → μ(e) decays, as well as the nonstandard interactions of neutrinos with matter. This Z′ may also set the dark matter observables and give rise to the LHC dilepton and dijet signals.