329346960 has 80 divisors (see below), whose sum is σ = 1022988096. Its totient is φ = 87652864.

The previous prime is 329346949. The next prime is 329347013. The reversal of 329346960 is 69643923.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×329346960² = 216938840122483200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161467 + ... + 163493.

Almost surely, 2^329346960 is an apocalyptic number.

329346960 is a gapful number since it is divisible by the number (30) 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 329346960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511494048).

329346960 is an abundant number, since it is smaller than the sum of its proper divisors (693641136).

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

329346960 is a wasteful number, since it uses less digits than its factorization.

329346960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 329346960 is about 18147.9188889525. The cubic root of 329346960 is about 690.5861853386.

The spelling of 329346960 in words is "three hundred twenty-nine million, three hundred forty-six thousand, nine hundred sixty".