3125948837760 has 1920 divisors, whose sum is σ = 13777226496000. Its totient is φ = 671577661440.

The previous prime is 3125948837729. The next prime is 3125948837777. The reversal of 3125948837760 is 677388495213.

3125948837760 is a `hidden beast` number, since 3 + 1 + 2 + 59 + 488 + 37 + 76 + 0 = 666.

3125948837760 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 (1920).

It is a super-2 number, since 2×3125948837760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11534866425 + ... + 11534866695.

It is an arithmetic number, because the mean of its divisors is an integer number (7175638800).

It is a 1-persistent number, because it is pandigital, but 2⋅3125948837760 = 6251897675520 is not.

Almost surely, 2^{3125948837760} is an apocalyptic number.

3125948837760 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 3125948837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888613248000).

3125948837760 is an abundant number, since it is smaller than the sum of its proper divisors (10651277658240).

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

3125948837760 is a wasteful number, since it uses less digits than its factorization.

3125948837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3125948837760 in words is "three trillion, one hundred twenty-five billion, nine hundred forty-eight million, eight hundred thirty-seven thousand, seven hundred sixty".