3116921472 has 320 divisors, whose sum is σ = 10776047040. Its totient is φ = 875888640.

The previous prime is 3116921461. The next prime is 3116921501. The reversal of 3116921472 is 2741296113.

3116921472 is a `hidden beast` number, since 3 + 1 + 169 + 21 + 472 = 666.

It is a super-2 number, since 2×3116921472² = 19430398925229293568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4862272 + ... + 4862912.

It is an arithmetic number, because the mean of its divisors is an integer number (33675147).

Almost surely, 2^3116921472 is an apocalyptic number.

3116921472 is a gapful number since it is divisible by the number (32) 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 3116921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388023520).

3116921472 is an abundant number, since it is smaller than the sum of its proper divisors (7659125568).

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

3116921472 is an equidigital number, since it uses as much as digits as its factorization.

3116921472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 720 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3116921472 is about 55829.3961278465. The cubic root of 3116921472 is about 1460.7479547836.

The spelling of 3116921472 in words is "three billion, one hundred sixteen million, nine hundred twenty-one thousand, four hundred seventy-two".