3687432 has 64 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 1028928.

The previous prime is 3687427. The next prime is 3687433. The reversal of 3687432 is 2347863.

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 = 3687393 and 3687402.

It is not an unprimeable number, because it can be changed into a prime (3687433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7663 + ... + 8129.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 2^3687432 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 3687432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

3687432 is an abundant number, since it is smaller than the sum of its proper divisors (7095288).

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

3687432 is a wasteful number, since it uses less digits than its factorization.

3687432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3687432 is about 1920.2687311936. The cubic root of 3687432 is about 154.4927154848.

The spelling of 3687432 in words is "three million, six hundred eighty-seven thousand, four hundred thirty-two".