329618952 has 144 divisors (see below), whose sum is σ = 979767360. Its totient is φ = 100054656.

The previous prime is 329618893. The next prime is 329618963. The reversal of 329618952 is 259816923.

329618952 is a `hidden beast` number, since 3 + 29 + 618 + 9 + 5 + 2 = 666.

329618952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 329618898 and 329618907.

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, 1253173 + ... + 1253435.

It is an arithmetic number, because the mean of its divisors is an integer number (6803940).

Almost surely, 2^329618952 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 329618952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489883680).

329618952 is an abundant number, since it is smaller than the sum of its proper divisors (650148408).

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

329618952 is a wasteful number, since it uses less digits than its factorization.

329618952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 329618952 is about 18155.4110942165. The cubic root of 329618952 is about 690.7762404644.

The spelling of 329618952 in words is "three hundred twenty-nine million, six hundred eighteen thousand, nine hundred fifty-two".