3937693908960 has 1728 divisors, whose sum is σ = 17012945424384. Its totient is φ = 811291852800.

The previous prime is 3937693908913. The next prime is 3937693908989. The reversal of 3937693908960 is 698093967393.

It is a happy number.

3937693908960 is a `hidden beast` number, since 3 + 9 + 376 + 93 + 90 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7557953500 + ... + 7557954020.

It is an arithmetic number, because the mean of its divisors is an integer number (9845454528).

Almost surely, 2^{3937693908960} is an apocalyptic number.

3937693908960 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 3937693908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506472712192).

3937693908960 is an abundant number, since it is smaller than the sum of its proper divisors (13075251515424).

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

3937693908960 is a wasteful number, since it uses less digits than its factorization.

3937693908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 72.

The spelling of 3937693908960 in words is "three trillion, nine hundred thirty-seven billion, six hundred ninety-three million, nine hundred eight thousand, nine hundred sixty".