3929223168 has 260 divisors, whose sum is σ = 12654505248. Its totient is φ = 1207664640.

The previous prime is 3929223163. The next prime is 3929223173. The reversal of 3929223168 is 8613229293.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3929223163) and next prime (3929223173).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3929223163) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4312633 + ... + 4313543.

Almost surely, 2^3929223168 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 3929223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327252624).

3929223168 is an abundant number, since it is smaller than the sum of its proper divisors (8725282080).

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

3929223168 is an equidigital number, since it uses as much as digits as its factorization.

3929223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 929 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3929223168 is about 62683.5159192590. The cubic root of 3929223168 is about 1577.9826799123.

The spelling of 3929223168 in words is "three billion, nine hundred twenty-nine million, two hundred twenty-three thousand, one hundred sixty-eight".