3958137529344 has 616 divisors, whose sum is σ = 12104785674912. Its totient is φ = 1292811632640.

The previous prime is 3958137529343. The next prime is 3958137529349. The reversal of 3958137529344 is 4439257318593.

3958137529344 is a `hidden beast` number, since 3 + 9 + 58 + 13 + 7 + 529 + 3 + 44 = 666.

It is a super-2 number, since 2×3958137529344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3958137529343) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11958119259 + ... + 11958119589.

Almost surely, 2^{3958137529344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958137529344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052392837456).

3958137529344 is an abundant number, since it is smaller than the sum of its proper divisors (8146648145568).

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

3958137529344 is an equidigital number, since it uses as much as digits as its factorization.

3958137529344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 612 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 3958137529344 in words is "three trillion, nine hundred fifty-eight billion, one hundred thirty-seven million, five hundred twenty-nine thousand, three hundred forty-four".