3109972320 has 672 divisors, whose sum is σ = 13604334912. Its totient is φ = 653930496.

The previous prime is 3109972309. The next prime is 3109972343. The reversal of 3109972320 is 232799013.

3109972320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10614094 + ... + 10614386.

It is an arithmetic number, because the mean of its divisors is an integer number (20244546).

Almost surely, 2^3109972320 is an apocalyptic number.

3109972320 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 3109972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802167456).

3109972320 is an abundant number, since it is smaller than the sum of its proper divisors (10494362592).

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

3109972320 is a wasteful number, since it uses less digits than its factorization.

3109972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3109972320 is about 55767.1258000625. The cubic root of 3109972320 is about 1459.6615716490.

The spelling of 3109972320 in words is "three billion, one hundred nine million, nine hundred seventy-two thousand, three hundred twenty".