329944160 has 384 divisors, whose sum is σ = 1072963584. Its totient is φ = 92897280.

The previous prime is 329944157. The next prime is 329944163. The reversal of 329944160 is 61449923.

It is an interprime number because it is at equal distance from previous prime (329944157) and next prime (329944163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329944163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7673099 + ... + 7673141.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 2^329944160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536481792).

329944160 is an abundant number, since it is smaller than the sum of its proper divisors (743019424).

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

329944160 is a wasteful number, since it uses less digits than its factorization.

329944160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 329944160 is about 18164.3651141459. The cubic root of 329944160 is about 691.0033432233.

The spelling of 329944160 in words is "three hundred twenty-nine million, nine hundred forty-four thousand, one hundred sixty".