3913916160 has 864 divisors, whose sum is σ = 16642934784. Its totient is φ = 774144000.

The previous prime is 3913916159. The next prime is 3913916177. The reversal of 3913916160 is 616193193.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64162530 + ... + 64162590.

It is an arithmetic number, because the mean of its divisors is an integer number (19262656).

Almost surely, 2^3913916160 is an apocalyptic number.

3913916160 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 3913916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321467392).

3913916160 is an abundant number, since it is smaller than the sum of its proper divisors (12729018624).

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

3913916160 is a wasteful number, since it uses less digits than its factorization.

3913916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 3913916160 is about 62561.2992192458. The cubic root of 3913916160 is about 1575.9309064678.

The spelling of 3913916160 in words is "three billion, nine hundred thirteen million, nine hundred sixteen thousand, one hundred sixty".