3676288543225 has 81 divisors (see below), whose sum is σ = 4798135564941. Its totient is φ = 2794137667200.

The previous prime is 3676288543211. The next prime is 3676288543247. The reversal of 3676288543225 is 5223458826763.

The square root of 3676288543225 is 1917365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1547409114601 + 2128879428624 = 1243949^2 + 1459068^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3676288543225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18473811676 + ... + 18473811874.

Almost surely, 2^{3676288543225} is an apocalyptic number.

3676288543225 is the 1917365-th square number.

3676288543225 is the 958683-rd centered octagonal number.

It is an amenable number.

3676288543225 is a deficient number, since it is larger than the sum of its proper divisors (1121847021716).

3676288543225 is an frugal number, since it uses more digits than its factorization.

3676288543225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 61.

The spelling of 3676288543225 in words is "three trillion, six hundred seventy-six billion, two hundred eighty-eight million, five hundred forty-three thousand, two hundred twenty-five".