3880607394720 has 576 divisors, whose sum is σ = 14936478713856. Its totient is φ = 842794444800.

The previous prime is 3880607394661. The next prime is 3880607394733. The reversal of 3880607394720 is 274937060883.

It is a super-2 number, since 2×3880607394720² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81661207 + ... + 81708713.

It is an arithmetic number, because the mean of its divisors is an integer number (25931386656).

Almost surely, 2^{3880607394720} is an apocalyptic number.

3880607394720 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 3880607394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468239356928).

3880607394720 is an abundant number, since it is smaller than the sum of its proper divisors (11055871319136).

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

3880607394720 is a wasteful number, since it uses less digits than its factorization.

3880607394720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47713 (or 47698 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 3880607394720 in words is "three trillion, eight hundred eighty billion, six hundred seven million, three hundred ninety-four thousand, seven hundred twenty".