3974385168 has 180 divisors, whose sum is σ = 12119910660. Its totient is φ = 1215212544.

The previous prime is 3974385133. The next prime is 3974385179. The reversal of 3974385168 is 8615834793.

3974385168 is a `hidden beast` number, since 3 + 97 + 4 + 38 + 516 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 3970512144 = 1968^2 + 63012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4793778 + ... + 4794606.

It is an arithmetic number, because the mean of its divisors is an integer number (67332837).

Almost surely, 2^3974385168 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 3974385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059955330).

3974385168 is an abundant number, since it is smaller than the sum of its proper divisors (8145525492).

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

3974385168 is a wasteful number, since it uses less digits than its factorization.

3974385168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1044 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3974385168 is about 63042.7249411064. The cubic root of 3974385168 is about 1584.0053757087.

The spelling of 3974385168 in words is "three billion, nine hundred seventy-four million, three hundred eighty-five thousand, one hundred sixty-eight".