3672320 has 72 divisors (see below), whose sum is σ = 9320640. Its totient is φ = 1382400.

The previous prime is 3672311. The next prime is 3672343. The reversal of 3672320 is 232763.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24245 + ... + 24395.

Almost surely, 2^3672320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660320).

3672320 is an abundant number, since it is smaller than the sum of its proper divisors (5648320).

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

3672320 is a wasteful number, since it uses less digits than its factorization.

3672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 3672320 is about 1916.3298254737. The cubic root of 3672320 is about 154.2813768459.

The spelling of 3672320 in words is "three million, six hundred seventy-two thousand, three hundred twenty".