329629344 has 96 divisors (see below), whose sum is σ = 948132864. Its totient is φ = 99444480.

The previous prime is 329629319. The next prime is 329629361. The reversal of 329629344 is 443926923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 329629296 and 329629305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298297 + ... + 299399.

It is an arithmetic number, because the mean of its divisors is an integer number (9876384).

Almost surely, 2^329629344 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 329629344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474066432).

329629344 is an abundant number, since it is smaller than the sum of its proper divisors (618503520).

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

329629344 is a wasteful number, since it uses less digits than its factorization.

329629344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 329629344 is about 18155.6972876285. The cubic root of 329629344 is about 690.7834998278.

It can be divided in two parts, 3296 and 29344, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 329629344 in words is "three hundred twenty-nine million, six hundred twenty-nine thousand, three hundred forty-four".