3880561595040 has 1344 divisors, whose sum is σ = 16012024551936. Its totient is φ = 879623110656.

The previous prime is 3880561595039. The next prime is 3880561595051. The reversal of 3880561595040 is 405951650883.

3880561595040 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 5 + 6 + 1 + 595 + 0 + 40 = 666.

3880561595040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1211538079 + ... + 1211541281.

It is an arithmetic number, because the mean of its divisors is an integer number (11913708744).

Almost surely, 2^{3880561595040} is an apocalyptic number.

3880561595040 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 3880561595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006012275968).

3880561595040 is an abundant number, since it is smaller than the sum of its proper divisors (12131462956896).

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

3880561595040 is a wasteful number, since it uses less digits than its factorization.

3880561595040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 3880561595040 in words is "three trillion, eight hundred eighty billion, five hundred sixty-one million, five hundred ninety-five thousand, forty".