Unfortunately the only way I know how you can get your A# by name is to show up at an immigration office with legal identification. They can look it up for you. I am now trying to get their number on the phone but with out any luck.
There is not much difference and there is a LOT of difference! A visa number is assigned to a person entering the USA. It later can become his/her Resident Alien number if alien status is granted. An alien number (usually from your visa number) is assigned to you when you have been granted legal Resident Alien status.
Alien number is available only for Persons applied for Adjustment of status [I-485] , GC holders and Citizens only. Alien number will be also available in I-140 approval notice of the particular person. The persons who are in non immigrant visas, then they have to provide SSN or Tax ID number [IRS number] for verification.
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