329638050 has 144 divisors (see below), whose sum is σ = 1018809792. Its totient is φ = 74851200.

The previous prime is 329638039. The next prime is 329638081. The reversal of 329638050 is 50836923.

329638050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×329638050² = 217322488015605000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 329637996 and 329638014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 714820 + ... + 715280.

It is an arithmetic number, because the mean of its divisors is an integer number (7075068).

Almost surely, 2^329638050 is an apocalyptic number.

329638050 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 329638050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509404896).

329638050 is an abundant number, since it is smaller than the sum of its proper divisors (689171742).

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

329638050 is a wasteful number, since it uses less digits than its factorization.

329638050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 329638050 is about 18155.9370454956. The cubic root of 329638050 is about 690.7895813133.

The spelling of 329638050 in words is "three hundred twenty-nine million, six hundred thirty-eight thousand, fifty".