3638442528 has 144 divisors (see below), whose sum is σ = 11842608960. Its totient is φ = 1038002688.

The previous prime is 3638442481. The next prime is 3638442557. The reversal of 3638442528 is 8252448363.

3638442528 is a `hidden beast` number, since 3 + 6 + 3 + 84 + 42 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2493063 + ... + 2494521.

It is an arithmetic number, because the mean of its divisors is an integer number (82240340).

Almost surely, 2^3638442528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921304480).

3638442528 is an abundant number, since it is smaller than the sum of its proper divisors (8204166432).

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

3638442528 is a wasteful number, since it uses less digits than its factorization.

3638442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2708 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3638442528 is about 60319.5037114862. The cubic root of 3638442528 is about 1538.0549075338.

The spelling of 3638442528 in words is "three billion, six hundred thirty-eight million, four hundred forty-two thousand, five hundred twenty-eight".