3166400160 has 960 divisors, whose sum is σ = 14753249280. Its totient is φ = 619591680.

The previous prime is 3166400137. The next prime is 3166400189. The reversal of 3166400160 is 610046613.

3166400160 is a `hidden beast` number, since 3 + 1 + 6 + 640 + 0 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18960397 + ... + 18960563.

It is an arithmetic number, because the mean of its divisors is an integer number (15367968).

Almost surely, 2^3166400160 is an apocalyptic number.

3166400160 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 3166400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376624640).

3166400160 is an abundant number, since it is smaller than the sum of its proper divisors (11586849120).

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

3166400160 is a wasteful number, since it uses less digits than its factorization.

3166400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

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

The square root of 3166400160 is about 56270.7753634158. The cubic root of 3166400160 is about 1468.4368222926.

Adding to 3166400160 its reverse (610046613), we get a palindrome (3776446773).

The spelling of 3166400160 in words is "three billion, one hundred sixty-six million, four hundred thousand, one hundred sixty".