3935757575364 has 192 divisors, whose sum is σ = 10051002630144. Its totient is φ = 1193771520000.

The previous prime is 3935757575341. The next prime is 3935757575389. The reversal of 3935757575364 is 4635757575393.

3935757575364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3935757575364² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432924459 + ... + 432933549.

It is an arithmetic number, because the mean of its divisors is an integer number (52348972032).

Almost surely, 2^{3935757575364} is an apocalyptic number.

3935757575364 is a gapful number since it is divisible by the number (34) 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 3935757575364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025501315072).

3935757575364 is an abundant number, since it is smaller than the sum of its proper divisors (6115245054780).

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

3935757575364 is a wasteful number, since it uses less digits than its factorization.

3935757575364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9618 (or 9616 counting only the distinct ones).

The product of its digits is 1250235000, while the sum is 69.

The spelling of 3935757575364 in words is "three trillion, nine hundred thirty-five billion, seven hundred fifty-seven million, five hundred seventy-five thousand, three hundred sixty-four".