Hi

It is difficult to predict because cut off / closing rank for colleges keeps changing every year depending upon several factors  like

******** number of aspirants which appeared in AP EAMCET i. e AP EAPCET which is its new name

******** Toughness or difficulty level of Ap EAMCET examination

******** number of seats available for different branches

******** number of students from different categories i. e general/obc/sc/st etc

But yes,

When we go through previous year trend then as per 2019  cut off available at

https://cache.careers360.mobi/media/uploads/froala_editor/files/2019-cutoff.pdf

With  3700 rank, considering your category as oc boy

Yes, you can get government engineering college.

For example,

In AP EAMCET 2019, 6380 rank for oc boy got ECE in A U COLLEGE OF ENGG. VISAKHAPATNAM which is a government university.

In order to help you  get the complete list of colleges that you can get, we have Ap EAMCET college predictor for you the  link for the same is given below

It gives you a personalised report on the basis of your  rank, category, gender etc with the help of which you can fill your choices of colleges in the counselling and grab a seat.

Thank