3931472160 has 768 divisors, whose sum is σ = 17557585920. Its totient is φ = 797921280.

The previous prime is 3931472123. The next prime is 3931472197. The reversal of 3931472160 is 612741393.

It is an interprime number because it is at equal distance from previous prime (3931472123) and next prime (3931472197).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17629809 + ... + 17630031.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^3931472160 is an apocalyptic number.

3931472160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3931472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778792960).

3931472160 is an abundant number, since it is smaller than the sum of its proper divisors (13626113760).

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

3931472160 is a wasteful number, since it uses less digits than its factorization.

3931472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3931472160 is about 62701.4526147521. The cubic root of 3931472160 is about 1578.2836888217.

The spelling of 3931472160 in words is "three billion, nine hundred thirty-one million, four hundred seventy-two thousand, one hundred sixty".