329845152 has 192 divisors, whose sum is σ = 1128847104. Its totient is φ = 81838080.

The previous prime is 329845091. The next prime is 329845163. The reversal of 329845152 is 251548923.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 329845152.

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 31 ways as a sum of consecutive naturals, for example, 147402 + ... + 149622.

It is an arithmetic number, because the mean of its divisors is an integer number (5879412).

Almost surely, 2^329845152 is an apocalyptic number.

329845152 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 329845152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564423552).

329845152 is an abundant number, since it is smaller than the sum of its proper divisors (799001952).

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

329845152 is a wasteful number, since it uses less digits than its factorization.

329845152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2263 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 329845152 is about 18161.6395735627. The cubic root of 329845152 is about 690.9342186949.

The spelling of 329845152 in words is "three hundred twenty-nine million, eight hundred forty-five thousand, one hundred fifty-two".