3638672 has 20 divisors (see below), whose sum is σ = 7083996. Its totient is φ = 1810560.

The previous prime is 3638653. The next prime is 3638699. The reversal of 3638672 is 2768363.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 2835856 = 896^2 + 1684^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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, 4022 + ... + 4842.

Almost surely, 2^3638672 is an apocalyptic number.

It is an amenable number.

3638672 is a deficient number, since it is larger than the sum of its proper divisors (3445324).

3638672 is a wasteful number, since it uses less digits than its factorization.

3638672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

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

The square root of 3638672 is about 1907.5303405189. The cubic root of 3638672 is about 153.8087241251.

The spelling of 3638672 in words is "three million, six hundred thirty-eight thousand, six hundred seventy-two".