3672080 has 40 divisors (see below), whose sum is σ = 8617752. Its totient is φ = 1455104.

The previous prime is 3672059. The next prime is 3672089. The reversal of 3672080 is 802763.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 2876416 = 892^2 + 1696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672089) by changing a digit.

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, 15644 + ... + 15876.

Almost surely, 2^3672080 is an apocalyptic number.

It is an amenable number.

3672080 is an abundant number, since it is smaller than the sum of its proper divisors (4945672).

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

3672080 is a wasteful number, since it uses less digits than its factorization.

3672080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

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

The square root of 3672080 is about 1916.2672047499. The cubic root of 3672080 is about 154.2780158155.

The spelling of 3672080 in words is "three million, six hundred seventy-two thousand, eighty".