329448384 has 140 divisors (see below), whose sum is σ = 987667824. Its totient is φ = 108573696.

The previous prime is 329448359. The next prime is 329448409. The reversal of 329448384 is 483844923.

329448384 is a `hidden beast` number, since 3 + 2 + 94 + 483 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (329448359) and next prime (329448409).

It is a super-2 number, since 2×329448384² = 217072475440422912, 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 533644 + ... + 534260.

Almost surely, 2^329448384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493833912).

329448384 is an abundant number, since it is smaller than the sum of its proper divisors (658219440).

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

329448384 is a wasteful number, since it uses less digits than its factorization.

329448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 329448384 is about 18150.7130438449. The cubic root of 329448384 is about 690.6570678557.

It can be divided in two parts, 32944 and 8384, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 329448384 in words is "three hundred twenty-nine million, four hundred forty-eight thousand, three hundred eighty-four".