  We calculate the low-energy tunneling density of states $\nu(\epsilon, T)$ of
an $N$-channel disordered wire, taking into account the electron-electron
interaction non-perturbatively. The finite scattering rate $1/\tau$ results in
a crossover from the Luttinger liquid behavior at higher energies,
$\nu\propto\epsilon^\alpha$, to the exponential dependence $\nu (\epsilon,
T=0)\propto \exp{(-\epsilon^*/\epsilon)}$ at low energies, where
$\epsilon^*\propto 1/(N \tau)$. At finite temperature $T$, the tunneling
density of states depends on the energy through the dimensionless variable
$\epsilon/\sqrt{\epsilon^* T}$. At the Fermi level $\nu(\epsilon=0,T) \propto
\exp (-\sqrt{\epsilon^*/T})$.
