3112900949760 has 576 divisors, whose sum is σ = 11532169248768. Its totient is φ = 700919857152.

The previous prime is 3112900949723. The next prime is 3112900949777. The reversal of 3112900949760 is 679490092113.

3112900949760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854486499 + ... + 854490141.

It is an arithmetic number, because the mean of its divisors is an integer number (20021127168).

Almost surely, 2^{3112900949760} is an apocalyptic number.

3112900949760 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 3112900949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766084624384).

3112900949760 is an abundant number, since it is smaller than the sum of its proper divisors (8419268299008).

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

3112900949760 is a wasteful number, since it uses less digits than its factorization.

3112900949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 3112900949760 in words is "three trillion, one hundred twelve billion, nine hundred million, nine hundred forty-nine thousand, seven hundred sixty".