3672008 has 16 divisors (see below), whose sum is σ = 6906060. Its totient is φ = 1830400.

The previous prime is 3672007. The next prime is 3672013. The reversal of 3672008 is 8002763.

It can be written as a sum of positive squares in 2 ways, for example, as 3378244 + 293764 = 1838^2 + 542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3728 + ... + 4608.

Almost surely, 2^3672008 is an apocalyptic number.

It is an amenable number.

3672008 is a deficient number, since it is larger than the sum of its proper divisors (3234052).

3672008 is a wasteful number, since it uses less digits than its factorization.

3672008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 3672008 is about 1916.2484181337. The cubic root of 3672008 is about 154.2770074778.

The spelling of 3672008 in words is "three million, six hundred seventy-two thousand, eight".