3880522874880 has 672 divisors, whose sum is σ = 14012324121600. Its totient is φ = 1018762887168.

The previous prime is 3880522874857. The next prime is 3880522874881. The reversal of 3880522874880 is 884782250883.

3880522874880 is a `hidden beast` number, since 3 + 8 + 80 + 52 + 28 + 7 + 488 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3880522874881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11183062867 + ... + 11183063213.

It is an arithmetic number, because the mean of its divisors is an integer number (20851672800).

Almost surely, 2^{3880522874880} is an apocalyptic number.

3880522874880 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 3880522874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006162060800).

3880522874880 is an abundant number, since it is smaller than the sum of its proper divisors (10131801246720).

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

3880522874880 is an frugal number, since it uses more digits than its factorization.

3880522874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 3880522874880 in words is "three trillion, eight hundred eighty billion, five hundred twenty-two million, eight hundred seventy-four thousand, eight hundred eighty".