3913086334080 has 2048 divisors, whose sum is σ = 17116572672000. Its totient is φ = 741877678080.

The previous prime is 3913086334049. The next prime is 3913086334127. The reversal of 3913086334080 is 804336803193.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 9856640442 + ... + 9856640838.

It is an arithmetic number, because the mean of its divisors is an integer number (8357701500).

Almost surely, 2^{3913086334080} is an apocalyptic number.

3913086334080 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 3913086334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558286336000).

3913086334080 is an abundant number, since it is smaller than the sum of its proper divisors (13203486337920).

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

3913086334080 is a wasteful number, since it uses less digits than its factorization.

3913086334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 3913086334080 in words is "three trillion, nine hundred thirteen billion, eighty-six million, three hundred thirty-four thousand, eighty".