3681632 has 24 divisors (see below), whose sum is σ = 7325136. Its totient is φ = 1821312.

The previous prime is 3681619. The next prime is 3681683. The reversal of 3681632 is 2361863.

It is a junction number, because it is equal to n+sod(n) for n = 3681595 and 3681604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2738 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (305214).

Almost surely, 2^3681632 is an apocalyptic number.

3681632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3681632 is a deficient number, since it is larger than the sum of its proper divisors (3643504).

3681632 is a wasteful number, since it uses less digits than its factorization.

3681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 3681632 is about 1918.7579315797. The cubic root of 3681632 is about 154.4116719142.

The spelling of 3681632 in words is "three million, six hundred eighty-one thousand, six hundred thirty-two".