3166004160 has 504 divisors, whose sum is σ = 12376714896. Its totient is φ = 736542720.

The previous prime is 3166004159. The next prime is 3166004173. The reversal of 3166004160 is 614006613.

3166004160 is a `hidden beast` number, since 3 + 16 + 600 + 41 + 6 + 0 = 666.

3166004160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3166004160² = 20047164682274611200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43369884 + ... + 43369956.

It is an arithmetic number, because the mean of its divisors is an integer number (24556974).

Almost surely, 2^3166004160 is an apocalyptic number.

3166004160 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 3166004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188357448).

3166004160 is an abundant number, since it is smaller than the sum of its proper divisors (9210710736).

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

3166004160 is a wasteful number, since it uses less digits than its factorization.

3166004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3166004160 is about 56267.2565529900. The cubic root of 3166004160 is about 1468.3756039589.

The spelling of 3166004160 in words is "three billion, one hundred sixty-six million, four thousand, one hundred sixty".