Hi, so basically if you scored the rank of 3886 , i'm assuming JEE mains, then you have alot of opportunities in alot of colleges.

You can apply for CSE in the following colleges, since the following colleges accept the rank under 10,000. The list of colleges are as follows:

NIT Warangal

MNIT Jaipur

MNNIT Allahabad

NIT Karnataka (Surathkal)

NIT Kurukshetra

NIT Rourkela

NIT Trichy

IIIT Gwalior

And the following colleges are for ECE with rank under 10,000:

MNIT Jaipur

MNNIT Allahabad

NIT Delhi

NIT Karnataka (Surathkal)

NIT Rourkela

NIT Trichy

NIT Warangal

SVNIT Surat

VNIT Nagpur

IIIT Allahabad

IIIT Pune

IIIT Surat

So, you don't have to worry about you can apply at the colleges i have mentioned above.

Hope this is helpful.