3105039357672 has 256 divisors, whose sum is σ = 9500220518400. Its totient is φ = 825928980480.

The previous prime is 3105039357661. The next prime is 3105039357781. The reversal of 3105039357672 is 2767539305013.

3105039357672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 232284733 + ... + 232298099.

It is an arithmetic number, because the mean of its divisors is an integer number (37110236400).

Almost surely, 2^{3105039357672} 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 3105039357672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750110259200).

3105039357672 is an abundant number, since it is smaller than the sum of its proper divisors (6395181160728).

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

3105039357672 is a wasteful number, since it uses less digits than its factorization.

3105039357672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14656 (or 14652 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 51.

The spelling of 3105039357672 in words is "three trillion, one hundred five billion, thirty-nine million, three hundred fifty-seven thousand, six hundred seventy-two".