3116983968 has 144 divisors (see below), whose sum is σ = 10183957056. Its totient is φ = 885841920.

The previous prime is 3116983921. The next prime is 3116983973. The reversal of 3116983968 is 8693896113.

It is a tau number, because it is divible by the number of its divisors (144).

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, 385083 + ... + 393093.

It is an arithmetic number, because the mean of its divisors is an integer number (70721924).

Almost surely, 2^3116983968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091978528).

3116983968 is an abundant number, since it is smaller than the sum of its proper divisors (7066973088).

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

3116983968 is a wasteful number, since it uses less digits than its factorization.

3116983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8216 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 3116983968 is about 55829.9558301813. The cubic root of 3116983968 is about 1460.7577176533.

The spelling of 3116983968 in words is "three billion, one hundred sixteen million, nine hundred eighty-three thousand, nine hundred sixty-eight".