3105260540928 has 1760 divisors, whose sum is σ = 12250400870400. Its totient is φ = 760637620224.

The previous prime is 3105260540897. The next prime is 3105260541083. The reversal of 3105260540928 is 8290450625013.

3105260540928 is a `hidden beast` number, since 3 + 10 + 5 + 2 + 6 + 0 + 540 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8461200201 + ... + 8461200567.

It is an arithmetic number, because the mean of its divisors is an integer number (6960455040).

Almost surely, 2^{3105260540928} is an apocalyptic number.

3105260540928 is a gapful number since it is divisible by the number (38) 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 3105260540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125200435200).

3105260540928 is an abundant number, since it is smaller than the sum of its proper divisors (9145140329472).

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

3105260540928 is a wasteful number, since it uses less digits than its factorization.

3105260540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3105260540928 in words is "three trillion, one hundred five billion, two hundred sixty million, five hundred forty thousand, nine hundred twenty-eight".