3182372480 has 64 divisors (see below), whose sum is σ = 8694708480. Its totient is φ = 1091097600.

The previous prime is 3182372447. The next prime is 3182372513. The reversal of 3182372480 is 842732813.

3182372480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3182372447) and next prime (3182372513).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3182372480³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 350696 + ... + 359655.

It is an arithmetic number, because the mean of its divisors is an integer number (135854820).

Almost surely, 2^3182372480 is an apocalyptic number.

It is an amenable number.

3182372480 is an abundant number, since it is smaller than the sum of its proper divisors (5512336000).

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

3182372480 is an equidigital number, since it uses as much as digits as its factorization.

3182372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710377 (or 710365 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 3182372480 is about 56412.5205960521. The cubic root of 3182372480 is about 1470.9017682627.

The spelling of 3182372480 in words is "three billion, one hundred eighty-two million, three hundred seventy-two thousand, four hundred eighty".