Social security number!!

I have finally (I think!) got my social security number!! They haven't, of course, told me this in a letter specifically to that effect, but they've sent me a bill which contains a numéro de sécurité sociale - I am legal and more importantly can now claim back all that money they owe me...

Anyone know how I now go about getting a Carte Vitale? Is that also a supposedly automatic process?

(This will all need to be redone once we get married, won't it? How depressing...)