  The pseudoachromatic index of the finite affine space $\mathrm{AG}(n,q),$
denoted by $\psi'(\mathrm{AG}(n,q)),$ is the the maximum number of colors in
any complete line-coloring of $\mathrm{AG}(n,q).$ When the coloring is also
proper, the maximum number of colors is called the achromatic index of
$\mathrm{AG}(n,q).$ We prove that if $n$ is even then
$\psi'(\mathrm{AG}(n,q))\sim q^{1.5n-1}$; while when $n$ is odd the value is
bounded by $q^{1.5(n-1)}<\psi'(\mathrm{AG}(n,q))<q^{1.5n-1}$. Moreover, we
prove that the achromatic index of $\mathrm{AG}(n,q)$ is $q^{1.5n-1}$ for even
$n,$ and we provides the exact values of both indices in the planar case.
