3712513168 has 160 divisors (see below), whose sum is σ = 9399398400. Its totient is φ = 1380284928.

The previous prime is 3712513157. The next prime is 3712513171. The reversal of 3712513168 is 8613152173.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974853 + ... + 1976731.

It is an arithmetic number, because the mean of its divisors is an integer number (58746240).

Almost surely, 2^3712513168 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 3712513168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699699200).

3712513168 is an abundant number, since it is smaller than the sum of its proper divisors (5686885232).

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

3712513168 is a wasteful number, since it uses less digits than its factorization.

3712513168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1983 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 3712513168 is about 60930.3960925908. The cubic root of 3712513168 is about 1548.4220038982.

The spelling of 3712513168 in words is "three billion, seven hundred twelve million, five hundred thirteen thousand, one hundred sixty-eight".