3116305920 has 600 divisors, whose sum is σ = 12584937816. Its totient is φ = 657506304.

The previous prime is 3116305879. The next prime is 3116305939. The reversal of 3116305920 is 295036113.

It is a super-2 number, since 2×3116305920² = 19422725174054092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 239715834 + ... + 239715846.

Almost surely, 2^3116305920 is an apocalyptic number.

3116305920 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 3116305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292468908).

3116305920 is an abundant number, since it is smaller than the sum of its proper divisors (9468631896).

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

3116305920 is an frugal number, since it uses more digits than its factorization.

3116305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3116305920 is about 55823.8830609265. The cubic root of 3116305920 is about 1460.6517887930.

Multiplying 3116305920 by its sum of digits (30), we get a square (93489177600 = 305760²).

3116305920 divided by its sum of digits (30) gives a square (103876864 = 10192²).

The spelling of 3116305920 in words is "three billion, one hundred sixteen million, three hundred five thousand, nine hundred twenty".