3990757944192 has 512 divisors, whose sum is σ = 11425966755840. Its totient is φ = 1231817932800.

The previous prime is 3990757944191. The next prime is 3990757944197. The reversal of 3990757944192 is 2914497570993.

It is a super-2 number, since 2×3990757944192² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990757944191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9008482723 + ... + 9008483165.

It is an arithmetic number, because the mean of its divisors is an integer number (22316341320).

Almost surely, 2^{3990757944192} is an apocalyptic number.

3990757944192 is a gapful number since it is divisible by the number (32) 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 3990757944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712983377920).

3990757944192 is an abundant number, since it is smaller than the sum of its proper divisors (7435208811648).

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

3990757944192 is a wasteful number, since it uses less digits than its factorization.

3990757944192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 69.

The spelling of 3990757944192 in words is "three trillion, nine hundred ninety billion, seven hundred fifty-seven million, nine hundred forty-four thousand, one hundred ninety-two".