329349732100 has 27 divisors (see below), whose sum is σ = 714701372287. Its totient is φ = 131737597280.

The previous prime is 329349732097. The next prime is 329349732119. The reversal of 329349732100 is 1237943923.

It is a happy number.

The square root of 329349732100 is 573890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1927736836 + 327421995264 = 43906^2 + 572208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5710206 + ... + 5767594.

Almost surely, 2^329349732100 is an apocalyptic number.

329349732100 is the 573890-th square number.

It is an amenable number.

329349732100 is an abundant number, since it is smaller than the sum of its proper divisors (385351640187).

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

329349732100 is an frugal number, since it uses more digits than its factorization.

329349732100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114792 (or 57396 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The spelling of 329349732100 in words is "three hundred twenty-nine billion, three hundred forty-nine million, seven hundred thirty-two thousand, one hundred".