UPCAT

With your rank, I can predict that you will get a mediocre level private college.

You have to fill your category at the time of counselling, then as per cutoff chances per category varies.

Yes, there is a chance to get admission with this rank.

No, you are not eligible for any government college and UPTU counselling never considers board percentage.

I am going to put some facts here.
UPSEE 2016 432 marks-Rank around 3800 in General Category
UPSEE 2015 432 marks-Rank around 1600 in General Category
UPSEE 2014 432 marks-Rank around 2300 in General Category
For getting a government College, your rank should be under 6000, if you belong to general category.

Yes, there is a chance to get admission in Private Colleges.

You can try for IERT-Allahabad. It is the only college, where you can have a chance.

With a rank of 3621, you can get BIT or IERT-Allahabad.

Yes, there is a chance with this rank to get a seat in CSJMU.

You can Get ABES, KIET AKGEC or JSS.