329780352 has 128 divisors (see below), whose sum is σ = 966323520. Its totient is φ = 98816000.

The previous prime is 329780351. The next prime is 329780369. The reversal of 329780352 is 253087923.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 329780352.

It is not an unprimeable number, because it can be changed into a prime (329780351) 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, 426238 + ... + 427010.

Almost surely, 2^329780352 is an apocalyptic number.

329780352 is a gapful number since it is divisible by the number (32) 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 329780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483161760).

329780352 is an abundant number, since it is smaller than the sum of its proper divisors (636543168).

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

329780352 is a wasteful number, since it uses less digits than its factorization.

329780352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 329780352 is about 18159.8555060331. The cubic root of 329780352 is about 690.8889697154. Note that the first 3 decimals are identical.

The spelling of 329780352 in words is "three hundred twenty-nine million, seven hundred eighty thousand, three hundred fifty-two".