3638832 has 60 divisors (see below), whose sum is σ = 9858744. Its totient is φ = 1155840.

The previous prime is 3638827. The next prime is 3638851. The reversal of 3638832 is 2388363.

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

It is a junction number, because it is equal to n+sod(n) for n = 3638793 and 3638802.

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, 84603 + ... + 84645.

Almost surely, 2^3638832 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 3638832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929372).

3638832 is an abundant number, since it is smaller than the sum of its proper divisors (6219912).

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

3638832 is a wasteful number, since it uses less digits than its factorization.

3638832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3638832 is about 1907.5722791024. The cubic root of 3638832 is about 153.8109785222.

The spelling of 3638832 in words is "three million, six hundred thirty-eight thousand, eight hundred thirty-two".