329312880 has 240 divisors, whose sum is σ = 1204047936. Its totient is φ = 80179200.

The previous prime is 329312813. The next prime is 329312887. The reversal of 329312880 is 88213923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329312887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413244 + ... + 1413476.

Almost surely, 2^329312880 is an apocalyptic number.

329312880 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 329312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602023968).

329312880 is an abundant number, since it is smaller than the sum of its proper divisors (874735056).

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

329312880 is a wasteful number, since it uses less digits than its factorization.

329312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 329312880 is about 18146.9799140243. The cubic root of 329312880 is about 690.5623644730.

The spelling of 329312880 in words is "three hundred twenty-nine million, three hundred twelve thousand, eight hundred eighty".