3917612160 has 768 divisors, whose sum is σ = 17238424320. Its totient is φ = 802897920.

The previous prime is 3917612159. The next prime is 3917612173. The reversal of 3917612160 is 612167193.

3917612160 is a `hidden beast` number, since 39 + 1 + 7 + 612 + 1 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 53665884 + ... + 53665956.

It is an arithmetic number, because the mean of its divisors is an integer number (22445865).

Almost surely, 2^3917612160 is an apocalyptic number.

3917612160 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 3917612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619212160).

3917612160 is an abundant number, since it is smaller than the sum of its proper divisors (13320812160).

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

3917612160 is a wasteful number, since it uses less digits than its factorization.

3917612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3917612160 is about 62590.8312774323. The cubic root of 3917612160 is about 1576.4268128616.

The spelling of 3917612160 in words is "three billion, nine hundred seventeen million, six hundred twelve thousand, one hundred sixty".