329803950 has 96 divisors (see below), whose sum is σ = 967080960. Its totient is φ = 72777600.

The previous prime is 329803891. The next prime is 329803973. The reversal of 329803950 is 59308923.

It is a junction number, because it is equal to n+sod(n) for n = 329803899 and 329803908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25035 + ... + 35865.

It is an arithmetic number, because the mean of its divisors is an integer number (10073760).

Almost surely, 2^329803950 is an apocalyptic number.

329803950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329803950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483540480).

329803950 is an abundant number, since it is smaller than the sum of its proper divisors (637277010).

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

329803950 is a wasteful number, since it uses less digits than its factorization.

329803950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 329803950 is about 18160.5052242497. The cubic root of 329803950 is about 690.9054485716.

The spelling of 329803950 in words is "three hundred twenty-nine million, eight hundred three thousand, nine hundred fifty".