329912880 has 160 divisors (see below), whose sum is σ = 1181495808. Its totient is φ = 75264000.

The previous prime is 329912857. The next prime is 329912887. The reversal of 329912880 is 88219923.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (329912887) 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 31 ways as a sum of consecutive naturals, for example, 41205 + ... + 48555.

Almost surely, 2^329912880 is an apocalyptic number.

329912880 is a gapful number since it is divisible by the number (30) 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 329912880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590747904).

329912880 is an abundant number, since it is smaller than the sum of its proper divisors (851582928).

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

329912880 is a wasteful number, since it uses less digits than its factorization.

329912880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 329912880 is about 18163.5040672223. The cubic root of 329912880 is about 690.9815059245.

The spelling of 329912880 in words is "three hundred twenty-nine million, nine hundred twelve thousand, eight hundred eighty".