3672511680 has 56 divisors (see below), whose sum is σ = 11660227632. Its totient is φ = 979336192.

The previous prime is 3672511679. The next prime is 3672511723. The reversal of 3672511680 is 861152763.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct 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, 1911807 + ... + 1913726.

Almost surely, 2^3672511680 is an apocalyptic number.

3672511680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3672511680 is an abundant number, since it is smaller than the sum of its proper divisors (7987715952).

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

3672511680 is a wasteful number, since it uses less digits than its factorization.

3672511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825553 (or 3825543 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3672511680 is about 60601.2514722262. The cubic root of 3672511680 is about 1542.8406108360.

The spelling of 3672511680 in words is "three billion, six hundred seventy-two million, five hundred eleven thousand, six hundred eighty".