3675880 has 32 divisors (see below), whose sum is σ = 8908200. Its totient is φ = 1357056.

The previous prime is 3675869. The next prime is 3675899. The reversal of 3675880 is 885763.

It can be written as a sum of positive squares in 4 ways, for example, as 2022084 + 1653796 = 1422^2 + 1286^2 .

It is a Smith number, since the sum of its digits (37) 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 7 ways as a sum of consecutive naturals, for example, 3015 + ... + 4054.

Almost surely, 2^3675880 is an apocalyptic number.

It is an amenable number.

3675880 is an abundant number, since it is smaller than the sum of its proper divisors (5232320).

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

3675880 is a wasteful number, since it uses less digits than its factorization.

3675880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 3675880 is about 1917.2584593633. The cubic root of 3675880 is about 154.3312149424.

The spelling of 3675880 in words is "three million, six hundred seventy-five thousand, eight hundred eighty".