3178113120 has 576 divisors, whose sum is σ = 13561067520. Its totient is φ = 659902464.

The previous prime is 3178113089. The next prime is 3178113131. The reversal of 3178113120 is 213118713.

It is a happy number.

It is a super-2 number, since 2×3178113120² = 20200806007032268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10352007 + ... + 10352313.

It is an arithmetic number, because the mean of its divisors is an integer number (23543520).

Almost surely, 2^3178113120 is an apocalyptic number.

3178113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3178113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780533760).

3178113120 is an abundant number, since it is smaller than the sum of its proper divisors (10382954400).

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

3178113120 is a wasteful number, since it uses less digits than its factorization.

3178113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 3178113120 is about 56374.7560526873. The cubic root of 3178113120 is about 1470.2452457685.

The spelling of 3178113120 in words is "three billion, one hundred seventy-eight million, one hundred thirteen thousand, one hundred twenty".