3808165583664 has 60 divisors (see below), whose sum is σ = 11477387945296. Its totient is φ = 1171743255936.

The previous prime is 3808165583653. The next prime is 3808165583701. The reversal of 3808165583664 is 4663855618083.

3808165583664 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 16 + 558 + 3 + 6 + 64 = 666.

It is a super-2 number, since 2×3808165583664² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017136372 + ... + 1017140115.

Almost surely, 2^{3808165583664} is an apocalyptic number.

It is an amenable number.

3808165583664 is an abundant number, since it is smaller than the sum of its proper divisors (7669222361632).

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

3808165583664 is a wasteful number, since it uses less digits than its factorization.

3808165583664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034276514 (or 2034276505 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 3808165583664 in words is "three trillion, eight hundred eight billion, one hundred sixty-five million, five hundred eighty-three thousand, six hundred sixty-four".