329041152 has 108 divisors (see below), whose sum is σ = 1035032544. Its totient is φ = 99701760.

The previous prime is 329041147. The next prime is 329041159. The reversal of 329041152 is 251140923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329041159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18853 + ... + 31835.

Almost surely, 2^329041152 is an apocalyptic number.

329041152 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 329041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517516272).

329041152 is an abundant number, since it is smaller than the sum of its proper divisors (705991392).

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

329041152 is a wasteful number, since it uses less digits than its factorization.

329041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 329041152 is about 18139.4915033471. The cubic root of 329041152 is about 690.3723761912.

The spelling of 329041152 in words is "three hundred twenty-nine million, forty-one thousand, one hundred fifty-two".