3115746859680 has 1536 divisors, whose sum is σ = 14326990110720. Its totient is φ = 613679431680.

The previous prime is 3115746859669. The next prime is 3115746859703. The reversal of 3115746859680 is 869586475113.

3115746859680 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 7 + 468 + 5 + 96 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 848744245 + ... + 848747915.

It is an arithmetic number, because the mean of its divisors is an integer number (9327467520).

Almost surely, 2^{3115746859680} is an apocalyptic number.

3115746859680 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 3115746859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163495055360).

3115746859680 is an abundant number, since it is smaller than the sum of its proper divisors (11211243251040).

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

3115746859680 is a wasteful number, since it uses less digits than its factorization.

3115746859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 3115746859680 in words is "three trillion, one hundred fifteen billion, seven hundred forty-six million, eight hundred fifty-nine thousand, six hundred eighty".