3164234976 has 288 divisors, whose sum is σ = 11086709760. Its totient is φ = 874540800.

The previous prime is 3164234971. The next prime is 3164234981. The reversal of 3164234976 is 6794324613.

It is an interprime number because it is at equal distance from previous prime (3164234971) and next prime (3164234981).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164234971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311211 + ... + 1313621.

It is an arithmetic number, because the mean of its divisors is an integer number (38495520).

Almost surely, 2^3164234976 is an apocalyptic number.

3164234976 is a gapful number since it is divisible by the number (36) 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 3164234976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543354880).

3164234976 is an abundant number, since it is smaller than the sum of its proper divisors (7922474784).

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

3164234976 is a wasteful number, since it uses less digits than its factorization.

3164234976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2454 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3164234976 is about 56251.5330991076. The cubic root of 3164234976 is about 1468.1020403398.

The spelling of 3164234976 in words is "three billion, one hundred sixty-four million, two hundred thirty-four thousand, nine hundred seventy-six".