329330342880 has 2304 divisors, whose sum is σ = 1558340259840. Its totient is φ = 61312204800.

The previous prime is 329330342833. The next prime is 329330342881. The reversal of 329330342880 is 88243033923.

329330342880 is a `hidden beast` number, since 3 + 2 + 9 + 330 + 34 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329330342881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4511374524 + ... + 4511374596.

It is an arithmetic number, because the mean of its divisors is an integer number (676362960).

Almost surely, 2^329330342880 is an apocalyptic number.

329330342880 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 329330342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779170129920).

329330342880 is an abundant number, since it is smaller than the sum of its proper divisors (1229009916960).

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

329330342880 is a wasteful number, since it uses less digits than its factorization.

329330342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 329330342880 in words is "three hundred twenty-nine billion, three hundred thirty million, three hundred forty-two thousand, eight hundred eighty".