3161991168 has 360 divisors, whose sum is σ = 11014853850. Its totient is φ = 901103616.

The previous prime is 3161991127. The next prime is 3161991221. The reversal of 3161991168 is 8611991613.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 199148544 = 54432^2 + 14112^2 .

It is a nude number because it is divisible by every one of its digits.

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 29 ways as a sum of consecutive naturals, for example, 8128318 + ... + 8128706.

Almost surely, 2^3161991168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3161991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507426925).

3161991168 is an abundant number, since it is smaller than the sum of its proper divisors (7852862682).

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

3161991168 is an equidigital number, since it uses as much as digits as its factorization.

3161991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 401 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 3161991168 is about 56231.5851457168. The cubic root of 3161991168 is about 1467.7549403218.

The spelling of 3161991168 in words is "three billion, one hundred sixty-one million, nine hundred ninety-one thousand, one hundred sixty-eight".