3160166400 has 468 divisors, whose sum is σ = 11830687232. Its totient is φ = 836075520.

The previous prime is 3160166371. The next prime is 3160166413. The reversal of 3160166400 is 46610613.

3160166400 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 16 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24883137 + ... + 24883263.

Almost surely, 2^3160166400 is an apocalyptic number.

3160166400 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 3160166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915343616).

3160166400 is an abundant number, since it is smaller than the sum of its proper divisors (8670520832).

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

3160166400 is an equidigital number, since it uses as much as digits as its factorization.

3160166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

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

The square root of 3160166400 is about 56215.3573323162. The cubic root of 3160166400 is about 1467.4725415122.

The spelling of 3160166400 in words is "three billion, one hundred sixty million, one hundred sixty-six thousand, four hundred".