3930575913880 has 512 divisors, whose sum is σ = 11726519040000. Its totient is φ = 1148679290880.

The previous prime is 3930575913871. The next prime is 3930575913881. The reversal of 3930575913880 is 883195750393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930575913881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3077975802 + ... + 3077977078.

It is an arithmetic number, because the mean of its divisors is an integer number (22903357500).

Almost surely, 2^{3930575913880} 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 3930575913880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863259520000).

3930575913880 is an abundant number, since it is smaller than the sum of its proper divisors (7795943126120).

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

3930575913880 is a wasteful number, since it uses less digits than its factorization.

3930575913880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 3930575913880 in words is "three trillion, nine hundred thirty billion, five hundred seventy-five million, nine hundred thirteen thousand, eight hundred eighty".