3686432 has 12 divisors (see below), whose sum is σ = 7257726. Its totient is φ = 1843200.

The previous prime is 3686411. The next prime is 3686447. The reversal of 3686432 is 2346863.

It can be written as a sum of positive squares in only one way, i.e., 3671056 + 15376 = 1916^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 115201 = 3686432 / (3 + 6 + 8 + 6 + 4 + 3 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57569 + ... + 57632.

Almost surely, 2^3686432 is an apocalyptic number.

3686432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3686432 is a deficient number, since it is larger than the sum of its proper divisors (3571294).

3686432 is a wasteful number, since it uses less digits than its factorization.

3686432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115211 (or 115203 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 3686432 is about 1920.0083333152. The cubic root of 3686432 is about 154.4787485214.

Subtracting from 3686432 its sum of digits (32), we obtain a square (3686400 = 1920²).

It can be divided in two parts, 36 and 86432, that added together give a palindrome (86468).

The spelling of 3686432 in words is "three million, six hundred eighty-six thousand, four hundred thirty-two".