329365152 has 144 divisors (see below), whose sum is σ = 1029188160. Its totient is φ = 99449856.

The previous prime is 329365147. The next prime is 329365163. The reversal of 329365152 is 251563923.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 124548 + ... + 127164.

It is an arithmetic number, because the mean of its divisors is an integer number (7147140).

Almost surely, 2^329365152 is an apocalyptic number.

329365152 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 329365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514594080).

329365152 is an abundant number, since it is smaller than the sum of its proper divisors (699823008).

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

329365152 is a wasteful number, since it uses less digits than its factorization.

329365152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2664 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 329365152 is about 18148.4200965263. The cubic root of 329365152 is about 690.5989003111.

The spelling of 329365152 in words is "three hundred twenty-nine million, three hundred sixty-five thousand, one hundred fifty-two".