3975680636928 has 1728 divisors, whose sum is σ = 16367283878400. Its totient is φ = 902165299200.

The previous prime is 3975680636927. The next prime is 3975680637001. The reversal of 3975680636928 is 8296360865793.

3975680636928 is a `hidden beast` number, since 3 + 9 + 7 + 568 + 0 + 6 + 36 + 9 + 28 = 666.

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 (3975680636927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3856139773 + ... + 3856140803.

It is an arithmetic number, because the mean of its divisors is an integer number (9471807800).

Almost surely, 2^{3975680636928} is an apocalyptic number.

3975680636928 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 3975680636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183641939200).

3975680636928 is an abundant number, since it is smaller than the sum of its proper divisors (12391603241472).

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

3975680636928 is a wasteful number, since it uses less digits than its factorization.

3975680636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 3975680636928 in words is "three trillion, nine hundred seventy-five billion, six hundred eighty million, six hundred thirty-six thousand, nine hundred twenty-eight".