329222880 has 480 divisors, whose sum is σ = 1405071360. Its totient is φ = 70917120.

The previous prime is 329222869. The next prime is 329222893. The reversal of 329222880 is 88222923.

329222880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723585 + ... + 1723775.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232).

Almost surely, 2^329222880 is an apocalyptic number.

329222880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 18144×18145.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

329222880 is an abundant number, since it is smaller than the sum of its proper divisors (1075848480).

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

329222880 is a wasteful number, since it uses less digits than its factorization.

329222880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 329222880 is about 18144.4999931109. The cubic root of 329222880 is about 690.4994493556.

The spelling of 329222880 in words is "three hundred twenty-nine million, two hundred twenty-two thousand, eight hundred eighty".