329382432 has 72 divisors (see below), whose sum is σ = 952087500. Its totient is φ = 107988480.

The previous prime is 329382353. The next prime is 329382433. The reversal of 329382432 is 234283923.

329382432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 312440976 + 16941456 = 17676^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (329382433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8194 + ... + 26942.

Almost surely, 2^329382432 is an apocalyptic number.

329382432 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 329382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476043750).

329382432 is an abundant number, since it is smaller than the sum of its proper divisors (622705068).

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

329382432 is a wasteful number, since it uses less digits than its factorization.

329382432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18826 (or 18815 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 329382432 is about 18148.8961647809. The cubic root of 329382432 is about 690.6109774239.

The spelling of 329382432 in words is "three hundred twenty-nine million, three hundred eighty-two thousand, four hundred thirty-two".