329600016 has 100 divisors (see below), whose sum is σ = 958575552. Its totient is φ = 109335744.

The previous prime is 329600009. The next prime is 329600027. The reversal of 329600016 is 610006923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 340365 + ... + 341331.

Almost surely, 2^329600016 is an apocalyptic number.

329600016 is a gapful number since it is divisible by the number (36) 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 329600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479287776).

329600016 is an abundant number, since it is smaller than the sum of its proper divisors (628975536).

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

329600016 is a wasteful number, since it uses less digits than its factorization.

329600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 329600016 is about 18154.8895893090. The cubic root of 329600016 is about 690.7630122714.

Adding to 329600016 its reverse (610006923), we get a palindrome (939606939).

The spelling of 329600016 in words is "three hundred twenty-nine million, six hundred thousand, sixteen".