3163993164 has 216 divisors, whose sum is σ = 8946782208. Its totient is φ = 977326560.

The previous prime is 3163993127. The next prime is 3163993169. The reversal of 3163993164 is 4613993613.

3163993164 is a `hidden beast` number, since 3 + 1 + 639 + 9 + 3 + 1 + 6 + 4 = 666.

3163993164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3163993169) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24913269 + ... + 24913395.

It is an arithmetic number, because the mean of its divisors is an integer number (41420288).

Almost surely, 2^3163993164 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 3163993164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473391104).

3163993164 is an abundant number, since it is smaller than the sum of its proper divisors (5782789044).

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

3163993164 is a wasteful number, since it uses less digits than its factorization.

3163993164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3163993164 is about 56249.3836766235. The cubic root of 3163993164 is about 1468.0646417545.

The spelling of 3163993164 in words is "three billion, one hundred sixty-three million, nine hundred ninety-three thousand, one hundred sixty-four".