329670432 has 288 divisors, whose sum is σ = 1206576000. Its totient is φ = 86800896.

The previous prime is 329670427. The next prime is 329670433. The reversal of 329670432 is 234076923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (329670433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550069 + ... + 550667.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^329670432 is an apocalyptic number.

329670432 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 329670432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

329670432 is an abundant number, since it is smaller than the sum of its proper divisors (876905568).

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

329670432 is a wasteful number, since it uses less digits than its factorization.

329670432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 329670432 is about 18156.8287980032. The cubic root of 329670432 is about 690.8122004818.

It can be divided in two parts, 329 and 670432, that added together give a square (670761 = 819²).

The spelling of 329670432 in words is "three hundred twenty-nine million, six hundred seventy thousand, four hundred thirty-two".