3623251338256 has 45 divisors (see below), whose sum is σ = 7716431090109. Its totient is φ = 1646894356800.

The previous prime is 3623251338149. The next prime is 3623251338269. The reversal of 3623251338256 is 6528331523263.

The square root of 3623251338256 is 1903484.

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., 1983827178256 + 1639424160000 = 1408484^2 + 1280400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83731666 + ... + 83774926.

Almost surely, 2^{3623251338256} is an apocalyptic number.

3623251338256 is the 1903484-th square number.

It is an amenable number.

3623251338256 is an abundant number, since it is smaller than the sum of its proper divisors (4093179751853).

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

3623251338256 is an frugal number, since it uses more digits than its factorization.

3623251338256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86552 (or 43274 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

Multiplying 3623251338256 by its sum of digits (49), we get a square (177539315574544 = 13324388²).

The spelling of 3623251338256 in words is "three trillion, six hundred twenty-three billion, two hundred fifty-one million, three hundred thirty-eight thousand, two hundred fifty-six".