3880707861600 has 504 divisors, whose sum is σ = 14258741100912. Its totient is φ = 1030879872000.

The previous prime is 3880707861593. The next prime is 3880707861661. The reversal of 3880707861600 is 61687070883.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 153368950 + ... + 153394250.

It is an arithmetic number, because the mean of its divisors is an integer number (28291152978).

Almost surely, 2^{3880707861600} is an apocalyptic number.

3880707861600 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 3880707861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129370550456).

3880707861600 is an abundant number, since it is smaller than the sum of its proper divisors (10378033239312).

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

3880707861600 is a wasteful number, since it uses less digits than its factorization.

3880707861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602 (or 25574 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 3880707861600 in words is "three trillion, eight hundred eighty billion, seven hundred seven million, eight hundred sixty-one thousand, six hundred".