329905492350 has 144 divisors (see below), whose sum is σ = 961557550128. Its totient is φ = 74629416960.

The previous prime is 329905492333. The next prime is 329905492363. The reversal of 329905492350 is 53294509923.

It is a junction number, because it is equal to n+sod(n) for n = 329905492293 and 329905492302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481584 + ... + 944316.

It is an arithmetic number, because the mean of its divisors is an integer number (6677482987).

Almost surely, 2^329905492350 is an apocalyptic number.

329905492350 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 329905492350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480778775064).

329905492350 is an abundant number, since it is smaller than the sum of its proper divisors (631652057778).

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

329905492350 is a wasteful number, since it uses less digits than its factorization.

329905492350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462859 (or 462847 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 329905492350 in words is "three hundred twenty-nine billion, nine hundred five million, four hundred ninety-two thousand, three hundred fifty".