3625216 has 81 divisors (see below), whose sum is σ = 8941989. Its totient is φ = 1462272.

The previous prime is 3625213. The next prime is 3625229. The reversal of 3625216 is 6125263.

The square root of 3625216 is 1904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 802816 = 1680^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (3625211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213240 + ... + 213256.

Almost surely, 2^3625216 is an apocalyptic number.

3625216 is the 1904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625216

3625216 is an abundant number, since it is smaller than the sum of its proper divisors (5316773).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3625216 is an equidigital number, since it uses as much as digits as its factorization.

3625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 26 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The cubic root of 3625216 is about 153.6188923521.

Multiplying 3625216 by its sum of digits (25), we get a square (90630400 = 9520²).

It can be divided in two parts, 36 and 25216, that added together give a palindrome (25252).

The spelling of 3625216 in words is "three million, six hundred twenty-five thousand, two hundred sixteen".