329712768 has 480 divisors, whose sum is σ = 1266289200. Its totient is φ = 84188160.

The previous prime is 329712767. The next prime is 329712787. The reversal of 329712768 is 867217923.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (329712767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588323 + ... + 5588381.

Almost surely, 2^329712768 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 329712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633144600).

329712768 is an abundant number, since it is smaller than the sum of its proper divisors (936576432).

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

329712768 is a wasteful number, since it uses less digits than its factorization.

329712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 329712768 is about 18157.9946029290. The cubic root of 329712768 is about 690.8417703902.

The spelling of 329712768 in words is "three hundred twenty-nine million, seven hundred twelve thousand, seven hundred sixty-eight".