329696320 has 56 divisors (see below), whose sum is σ = 792940248. Its totient is φ = 130572800.

The previous prime is 329696291. The next prime is 329696383. The reversal of 329696320 is 23696923.

Added to its reverse (23696923) it gives a cube (353393243 = 707³).

It can be written as a sum of positive squares in 4 ways, for example, as 172344384 + 157351936 = 13128^2 + 12544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3264270 + ... + 3264370.

Almost surely, 2^329696320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396470124).

329696320 is an abundant number, since it is smaller than the sum of its proper divisors (463243928).

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

329696320 is an frugal number, since it uses more digits than its factorization.

329696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The square root of 329696320 is about 18157.5416838293. The cubic root of 329696320 is about 690.8302824574.

329696320 divided by its sum of digits (40) gives a cube (8242408 = 202³).

Adding to 329696320 its reverse (23696923), we get a cube (353393243 = 707³).

The spelling of 329696320 in words is "three hundred twenty-nine million, six hundred ninety-six thousand, three hundred twenty".