329883360 has 96 divisors (see below), whose sum is σ = 1045148832. Its totient is φ = 87459840.

The previous prime is 329883349. The next prime is 329883361. The reversal of 329883360 is 63388923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329883361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84982 + ... + 88778.

It is an arithmetic number, because the mean of its divisors is an integer number (10886967).

Almost surely, 2^329883360 is an apocalyptic number.

329883360 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 329883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522574416).

329883360 is an abundant number, since it is smaller than the sum of its proper divisors (715265472).

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

329883360 is a wasteful number, since it uses less digits than its factorization.

329883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 329883360 is about 18162.6914305122. The cubic root of 329883360 is about 690.9608960567.

The spelling of 329883360 in words is "three hundred twenty-nine million, eight hundred eighty-three thousand, three hundred sixty".