3990757345344 has 1701 divisors, whose sum is σ = 15621770751951. Its totient is φ = 970396922880.

The previous prime is 3990757345313. The next prime is 3990757345373. The reversal of 3990757345344 is 4435437570993.

The square root of 3990757345344 is 1997688.

It is a perfect power (a square), and thus also a powerful number.

3990757345344 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 7 + 573 + 4 + 53 + 4 + 4 = 666.

It is a super-2 number, since 2×3990757345344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 84909730729 + ... + 84909730775.

Almost surely, 2^{3990757345344} is an apocalyptic number.

3990757345344 is the 1997688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990757345344

3990757345344 is an abundant number, since it is smaller than the sum of its proper divisors (11631013406607).

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

3990757345344 is a wasteful number, since it uses less digits than its factorization.

3990757345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 3990757345344 in words is "three trillion, nine hundred ninety billion, seven hundred fifty-seven million, three hundred forty-five thousand, three hundred forty-four".