329983488 has 120 divisors (see below), whose sum is σ = 1002744600. Its totient is φ = 104177664.

The previous prime is 329983477. The next prime is 329983517. The reversal of 329983488 is 884389923.

It is a happy number.

329983488 is a `hidden beast` number, since 3 + 299 + 8 + 348 + 8 = 666.

It is a super-2 number, since 2×329983488² = 217778204705292288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 85668 + ... + 89436.

It is an arithmetic number, because the mean of its divisors is an integer number (8356205).

Almost surely, 2^329983488 is an apocalyptic number.

329983488 is a gapful number since it is divisible by the number (38) 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 329983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501372300).

329983488 is an abundant number, since it is smaller than the sum of its proper divisors (672761112).

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

329983488 is a wasteful number, since it uses less digits than its factorization.

329983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3793 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 329983488 is about 18165.4476410575. The cubic root of 329983488 is about 691.0307970606.

The spelling of 329983488 in words is "three hundred twenty-nine million, nine hundred eighty-three thousand, four hundred eighty-eight".