329980896 has 216 divisors, whose sum is σ = 1111055400. Its totient is φ = 92606976.

The previous prime is 329980877. The next prime is 329980901. The reversal of 329980896 is 698089923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 945330 + ... + 945678.

It is an arithmetic number, because the mean of its divisors is an integer number (5143775).

Almost surely, 2^329980896 is an apocalyptic number.

329980896 is a gapful number since it is divisible by the number (36) 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 329980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555527700).

329980896 is an abundant number, since it is smaller than the sum of its proper divisors (781074504).

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

329980896 is a wasteful number, since it uses less digits than its factorization.

329980896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 329980896 is about 18165.3762966805. The cubic root of 329980896 is about 691.0289877210.

The spelling of 329980896 in words is "three hundred twenty-nine million, nine hundred eighty thousand, eight hundred ninety-six".