3657225825 has 72 divisors (see below), whose sum is σ = 7226724960. Its totient is φ = 1753171200.

The previous prime is 3657225797. The next prime is 3657225877. The reversal of 3657225825 is 5285227563.

3657225825 is a `hidden beast` number, since 3 + 6 + 572 + 2 + 58 + 25 = 666.

It is not a de Polignac number, because 3657225825 - 2⁸ = 3657225569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211974 + ... + 228576.

It is an arithmetic number, because the mean of its divisors is an integer number (100371180).

Almost surely, 2^3657225825 is an apocalyptic number.

It is an amenable number.

3657225825 is a deficient number, since it is larger than the sum of its proper divisors (3569499135).

3657225825 is a wasteful number, since it uses less digits than its factorization.

3657225825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16719 (or 16711 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 3657225825 is about 60475.0016535758. The cubic root of 3657225825 is about 1540.6970792873.

The spelling of 3657225825 in words is "three billion, six hundred fifty-seven million, two hundred twenty-five thousand, eight hundred twenty-five".