My wife can apply for her SSN as soon as she enters the country right ?
we will be out of state when she gets here so my question really is. Can she apply for SSN even though we are not home ?

SSA is a Federal not a State agency... You can apply in any city that has a SSA local office...

... and give it at least 2 weeks so that your wife's arrival has been recorded at DHS's database (SSA will check on that one for verification) to avoid coming back and forth to SSA.

--Mae

If ur under k3 ur wife cant apply for SSN unless she has the EAD card , the EAD card u can apply separately it will cost you $340 , but if u will file it along with the AOS cost u nothing . Im in k3 visa also thats what i did , my EAD took 42 days my SSN took 2 wks .

under K3 visa, the person cannot apply for SSN. Has to either file AOS with EAD or file EAD alone then apply for SSN.