329391072 has 36 divisors (see below), whose sum is σ = 936706680. Its totient is φ = 109796928.

The previous prime is 329391071. The next prime is 329391091. The reversal of 329391072 is 270193923.

It is a tau number, because it is divible by the number of its divisors (36).

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 (329391071) 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 5 ways as a sum of consecutive naturals, for example, 571572 + ... + 572147.

It is an arithmetic number, because the mean of its divisors is an integer number (26019630).

Almost surely, 2^329391072 is an apocalyptic number.

329391072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

329391072 is an abundant number, since it is smaller than the sum of its proper divisors (607315608).

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

329391072 is a wasteful number, since it uses less digits than its factorization.

329391072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143735 (or 1143724 counting only the distinct ones).

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

The square root of 329391072 is about 18149.1341942254. The cubic root of 329391072 is about 690.6170158219.

The spelling of 329391072 in words is "three hundred twenty-nine million, three hundred ninety-one thousand, seventy-two".