329948320 has 192 divisors, whose sum is σ = 888166944. Its totient is φ = 115015680.

The previous prime is 329948309. The next prime is 329948387. The reversal of 329948320 is 23849923.

329948320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 17424 + 329930896 = 132^2 + 18164^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4519804 + ... + 4519876.

Almost surely, 2^329948320 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 329948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444083472).

329948320 is an abundant number, since it is smaller than the sum of its proper divisors (558218624).

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

329948320 is a wasteful number, since it uses less digits than its factorization.

329948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 329948320 is about 18164.4796237052. The cubic root of 329948320 is about 691.0062473125.

It can be divided in two parts, 32994 and 8320, that added together give a palindrome (41314).

The spelling of 329948320 in words is "three hundred twenty-nine million, nine hundred forty-eight thousand, three hundred twenty".