3627638 has 16 divisors (see below), whose sum is σ = 6337440. Its totient is φ = 1525056.

The previous prime is 3627587. The next prime is 3627641. The reversal of 3627638 is 8367263.

It is a junction number, because it is equal to n+sod(n) for n = 3627598 and 3627607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1703 + ... + 3186.

It is an arithmetic number, because the mean of its divisors is an integer number (396090).

Almost surely, 2^3627638 is an apocalyptic number.

3627638 is a deficient number, since it is larger than the sum of its proper divisors (2709802).

3627638 is a wasteful number, since it uses less digits than its factorization.

3627638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951.

The product of its digits is 36288, while the sum is 35.

The square root of 3627638 is about 1904.6359232147. The cubic root of 3627638 is about 153.6530955674.

It can be divided in two parts, 362 and 7638, that added together give a cube (8000 = 20³).

The spelling of 3627638 in words is "three million, six hundred twenty-seven thousand, six hundred thirty-eight".