329709996 has 144 divisors (see below), whose sum is σ = 1048739328. Its totient is φ = 85551840.

The previous prime is 329709977. The next prime is 329710027. The reversal of 329709996 is 699907923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334921 + ... + 335903.

It is an arithmetic number, because the mean of its divisors is an integer number (7282912).

Almost surely, 2^329709996 is an apocalyptic number.

329709996 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 329709996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524369664).

329709996 is an abundant number, since it is smaller than the sum of its proper divisors (719029332).

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

329709996 is a wasteful number, since it uses less digits than its factorization.

329709996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 329709996 is about 18157.9182727536. The cubic root of 329709996 is about 690.8398343427.

The spelling of 329709996 in words is "three hundred twenty-nine million, seven hundred nine thousand, nine hundred ninety-six".