3638955168 has 72 divisors (see below), whose sum is σ = 10354200948. Its totient is φ = 1212291072.

The previous prime is 3638955167. The next prime is 3638955169. The reversal of 3638955168 is 8615598363.

3638955168 is a `hidden beast` number, since 3 + 6 + 3 + 89 + 551 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3638955167) and next prime (3638955169).

It can be written as a sum of positive squares in 2 ways, for example, as 3344077584 + 294877584 = 57828^2 + 17172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3638955167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849480 + ... + 853752.

Almost surely, 2^3638955168 is an apocalyptic number.

It is an amenable number.

3638955168 is an abundant number, since it is smaller than the sum of its proper divisors (6715245780).

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

3638955168 is a wasteful number, since it uses less digits than its factorization.

3638955168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7235 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 3638955168 is about 60323.7529336496. The cubic root of 3638955168 is about 1538.1271391214.

The spelling of 3638955168 in words is "three billion, six hundred thirty-eight million, nine hundred fifty-five thousand, one hundred sixty-eight".