329404320 has 240 divisors, whose sum is σ = 1328963328. Its totient is φ = 75271680.

The previous prime is 329404319. The next prime is 329404333. The reversal of 329404320 is 23404923.

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 (27).

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 39 ways as a sum of consecutive naturals, for example, 88905 + ... + 92535.

Almost surely, 2^329404320 is an apocalyptic number.

329404320 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 329404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664481664).

329404320 is an abundant number, since it is smaller than the sum of its proper divisors (999559008).

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

329404320 is a wasteful number, since it uses less digits than its factorization.

329404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 329404320 is about 18149.4991666437. The cubic root of 329404320 is about 690.6262744938.

The spelling of 329404320 in words is "three hundred twenty-nine million, four hundred four thousand, three hundred twenty".