Should the eligibility requirements for the position of POTUS be increased?

There are three requirements to become the President of the US:
1) Must be 35 or older
2) Must have been a resident in the US for at least 14 years
3) Must be born in the US or have at least one US citizen parent

Those three seem like a pretty low bar for such an important position.
Shouldn’t there be other requirements or at least a test of some sort?

The testing for FSO, foreign service officer, seems appropriate. It includes technical knowledge, knowledge of government operations, history, reading and writing skills, leadership skills, drug testing, background checks, as well as age and health requirements.

What requirements do you think should be added for this position?