329931072 has 168 divisors, whose sum is σ = 986994216. Its totient is φ = 105283584.

The previous prime is 329931031. The next prime is 329931073. The reversal of 329931072 is 270139923.

329931072 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 4 ways, for example, as 36288576 + 293642496 = 6024^2 + 17136^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329931073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2408188 + ... + 2408324.

Almost surely, 2^329931072 is an apocalyptic number.

329931072 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 329931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493497108).

329931072 is an abundant number, since it is smaller than the sum of its proper divisors (657063144).

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

329931072 is a wasteful number, since it uses less digits than its factorization.

329931072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 329931072 is about 18164.0048447472. The cubic root of 329931072 is about 690.9942063527.

The spelling of 329931072 in words is "three hundred twenty-nine million, nine hundred thirty-one thousand, seventy-two".