3632688 has 50 divisors (see below), whose sum is σ = 10517804. Its totient is φ = 1210464.

The previous prime is 3632663. The next prime is 3632701. The reversal of 3632688 is 8862363.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 106 + ... + 2697.

Almost surely, 2^3632688 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 3632688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258902).

3632688 is an abundant number, since it is smaller than the sum of its proper divisors (6885116).

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

3632688 is a wasteful number, since it uses less digits than its factorization.

3632688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2808 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3632688 is about 1905.9611748407. The cubic root of 3632688 is about 153.7243621737.

The spelling of 3632688 in words is "three million, six hundred thirty-two thousand, six hundred eighty-eight".