3958059168 has 360 divisors, whose sum is σ = 13807021536. Its totient is φ = 1089573120.

The previous prime is 3958059139. The next prime is 3958059251. The reversal of 3958059168 is 8619508593.

It is a happy number.

3958059168 is a `hidden beast` number, since 3 + 9 + 580 + 59 + 1 + 6 + 8 = 666.

3958059168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17436271 + ... + 17436497.

Almost surely, 2^3958059168 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 3958059168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903510768).

3958059168 is an abundant number, since it is smaller than the sum of its proper divisors (9848962368).

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

3958059168 is a wasteful number, since it uses less digits than its factorization.

3958059168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 3958059168 is about 62913.1080777289. The cubic root of 3958059168 is about 1581.8334705689.

The spelling of 3958059168 in words is "three billion, nine hundred fifty-eight million, fifty-nine thousand, one hundred sixty-eight".