3112028160 has 384 divisors, whose sum is σ = 10826524800. Its totient is φ = 760217600.

The previous prime is 3112028149. The next prime is 3112028197. The reversal of 3112028160 is 618202113.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3112028160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30812110 + ... + 30812210.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2^3112028160 is an apocalyptic number.

3112028160 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 3112028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413262400).

3112028160 is an abundant number, since it is smaller than the sum of its proper divisors (7714496640).

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

3112028160 is a wasteful number, since it uses less digits than its factorization.

3112028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 3112028160 is about 55785.5551195827. Note that the first 3 decimals coincide. The cubic root of 3112028160 is about 1459.9831361035.

The spelling of 3112028160 in words is "three billion, one hundred twelve million, twenty-eight thousand, one hundred sixty".