3638920 has 32 divisors (see below), whose sum is σ = 8472600. Its totient is φ = 1404928.

The previous prime is 3638917. The next prime is 3638923. The reversal of 3638920 is 298363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3638917) and next prime (3638923).

It can be written as a sum of positive squares in 4 ways, for example, as 3617604 + 21316 = 1902^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (3638923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409 + ... + 2728.

Almost surely, 2^3638920 is an apocalyptic number.

It is an amenable number.

3638920 is an abundant number, since it is smaller than the sum of its proper divisors (4833680).

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

3638920 is a wasteful number, since it uses less digits than its factorization.

3638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3638920 is about 1907.5953449304. The cubic root of 3638920 is about 153.8122184125.

The spelling of 3638920 in words is "three million, six hundred thirty-eight thousand, nine hundred twenty".