3712791168 has 144 divisors (see below), whose sum is σ = 11096810010. Its totient is φ = 1237317120.

The previous prime is 3712791133. The next prime is 3712791191. The reversal of 3712791168 is 8611972173.

3712791168 is a `hidden beast` number, since 371 + 279 + 1 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2620620864 + 1092170304 = 51192^2 + 33048^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 837598 + ... + 842018.

Almost surely, 2^3712791168 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 3712791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548405005).

3712791168 is an abundant number, since it is smaller than the sum of its proper divisors (7384018842).

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

3712791168 is an frugal number, since it uses more digits than its factorization.

3712791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4426 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 3712791168 is about 60932.6773414725. The cubic root of 3712791168 is about 1548.4606525218.

The spelling of 3712791168 in words is "three billion, seven hundred twelve million, seven hundred ninety-one thousand, one hundred sixty-eight".