3638844432 has 160 divisors (see below), whose sum is σ = 11147004800. Its totient is φ = 1133180928.

The previous prime is 3638844431. The next prime is 3638844457. The reversal of 3638844432 is 2344488363.

3638844432 is a `hidden beast` number, since 3 + 638 + 8 + 4 + 4 + 4 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3638844431) 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 31 ways as a sum of consecutive naturals, for example, 596148 + ... + 602220.

It is an arithmetic number, because the mean of its divisors is an integer number (69668780).

Almost surely, 2^3638844432 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 3638844432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573502400).

3638844432 is an abundant number, since it is smaller than the sum of its proper divisors (7508160368).

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

3638844432 is a wasteful number, since it uses less digits than its factorization.

3638844432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6170 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 3638844432 is about 60322.8350792633. The cubic root of 3638844432 is about 1538.1115368613. Note that the first 3 decimals are identical.

The spelling of 3638844432 in words is "three billion, six hundred thirty-eight million, eight hundred forty-four thousand, four hundred thirty-two".