329952132 has 36 divisors (see below), whose sum is σ = 838721520. Its totient is φ = 109367472.

The previous prime is 329952121. The next prime is 329952137. The reversal of 329952132 is 231259923.

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

It is a super-2 number, since 2×329952132² = 217736818822690848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (329952137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19158 + ... + 32045.

It is an arithmetic number, because the mean of its divisors is an integer number (23297820).

Almost surely, 2^329952132 is an apocalyptic number.

It is an amenable number.

329952132 is an abundant number, since it is smaller than the sum of its proper divisors (508769388).

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

329952132 is a wasteful number, since it uses less digits than its factorization.

329952132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51392 (or 51387 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 329952132 is about 18164.5845534656. The cubic root of 329952132 is about 691.0089084421.

The spelling of 329952132 in words is "three hundred twenty-nine million, nine hundred fifty-two thousand, one hundred thirty-two".