3680227865664 has 567 divisors, whose sum is σ = 12972362264901. Its totient is φ = 994494412800.

The previous prime is 3680227865651. The next prime is 3680227865747. The reversal of 3680227865664 is 4665687220863.

It is a happy number.

The square root of 3680227865664 is 1918392.

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

3680227865664 is a `hidden beast` number, since 3 + 68 + 0 + 2 + 2 + 7 + 8 + 6 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3093349299264 + 586878566400 = 1758792^2 + 766080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6123506964 + ... + 6123507564.

Almost surely, 2^{3680227865664} is an apocalyptic number.

3680227865664 is the 1918392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680227865664

3680227865664 is an abundant number, since it is smaller than the sum of its proper divisors (9292134399237).

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

3680227865664 is an equidigital number, since it uses as much as digits as its factorization.

3680227865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3680227865664 in words is "three trillion, six hundred eighty billion, two hundred twenty-seven million, eight hundred sixty-five thousand, six hundred sixty-four".