3880716737688 has 384 divisors, whose sum is σ = 13148740800000. Its totient is φ = 1035989388288.

The previous prime is 3880716737687. The next prime is 3880716737731. The reversal of 3880716737688 is 8867376170883.

3880716737688 is a `hidden beast` number, since 38 + 80 + 71 + 6 + 7 + 376 + 88 = 666.

3880716737688 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880716737687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153078838 + ... + 153104186.

It is an arithmetic number, because the mean of its divisors is an integer number (34241512500).

Almost surely, 2^{3880716737688} is an apocalyptic number.

3880716737688 is a gapful number since it is divisible by the number (38) 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 3880716737688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574370400000).

3880716737688 is an abundant number, since it is smaller than the sum of its proper divisors (9268024062312).

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

3880716737688 is a wasteful number, since it uses less digits than its factorization.

3880716737688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536 (or 25453 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 3880716737688 in words is "three trillion, eight hundred eighty billion, seven hundred sixteen million, seven hundred thirty-seven thousand, six hundred eighty-eight".