329953668 has 48 divisors (see below), whose sum is σ = 848232000. Its totient is φ = 98992000.

The previous prime is 329953643. The next prime is 329953681. The reversal of 329953668 is 866359923.

It is a self number, because there is not a number n which added to its sum of digits gives 329953668.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958 + ... + 25706.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 2^329953668 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 329953668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424116000).

329953668 is an abundant number, since it is smaller than the sum of its proper divisors (518278332).

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

329953668 is a wasteful number, since it uses less digits than its factorization.

329953668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24868 (or 24866 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 329953668 is about 18164.6268334915. The cubic root of 329953668 is about 691.0099807067.

It can be divided in two parts, 32995 and 3668, that added together give a palindrome (36663).

The spelling of 329953668 in words is "three hundred twenty-nine million, nine hundred fifty-three thousand, six hundred sixty-eight".