3116961792 has 312 divisors, whose sum is σ = 10549483776. Its totient is φ = 868220928.

The previous prime is 3116961787. The next prime is 3116961833. The reversal of 3116961792 is 2971696113.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12128128 + ... + 12128384.

It is an arithmetic number, because the mean of its divisors is an integer number (33812448).

Almost surely, 2^3116961792 is an apocalyptic number.

3116961792 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 3116961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274741888).

3116961792 is an abundant number, since it is smaller than the sum of its proper divisors (7432521984).

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

3116961792 is a wasteful number, since it uses less digits than its factorization.

3116961792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 3116961792 is about 55829.7572267693. The cubic root of 3116961792 is about 1460.7542534241.

The spelling of 3116961792 in words is "three billion, one hundred sixteen million, nine hundred sixty-one thousand, seven hundred ninety-two".