  We report on very strong evidence of the occurrence of power terms in
$\as(p)$, the QCD running coupling constant in the $\widetilde{MOM}$ scheme, by
analyzing non-perturbative measurements from the lattice three-gluon vertex
between 2.0 and 10.0 GeV at zero flavor. While putting forward the caveat that
this definition of the coupling is a gauge dependent one, the general relevance
of such an occurrence is discussed. We fit $\Lambda_{\bar{\rm MS}}^{(n_f=0)}=
237 \pm 3 ^{+ 0}_{-10}$ MeV in perfect agreement with the result obtained by
the ALPHA group with a totally different method.
  The power correction to $\as(p)$ is fitted to $(0.63\pm 0.03 ^{+ 0.0}_{-
0.13}) {\rm GeV}^2/p^2$.
