329972220 has 36 divisors (see below), whose sum is σ = 1000916280. Its totient is φ = 87992544.

The previous prime is 329972189. The next prime is 329972249. The reversal of 329972220 is 22279923.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916410 + ... + 916769.

It is an arithmetic number, because the mean of its divisors is an integer number (27803230).

Almost surely, 2^329972220 is an apocalyptic number.

329972220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329972220 is an abundant number, since it is smaller than the sum of its proper divisors (670944060).

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

329972220 is a wasteful number, since it uses less digits than its factorization.

329972220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833194 (or 1833189 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 329972220 is about 18165.1374891576. The cubic root of 329972220 is about 691.0229313906.

The spelling of 329972220 in words is "three hundred twenty-nine million, nine hundred seventy-two thousand, two hundred twenty".