329834420 has 54 divisors (see below), whose sum is σ = 721221858. Its totient is φ = 126703200.

The previous prime is 329834419. The next prime is 329834437. The reversal of 329834420 is 24438923.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 263867536 + 65966884 = 16244^2 + 8122^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2517755 + ... + 2517885.

Almost surely, 2^329834420 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 329834420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360610929).

329834420 is an abundant number, since it is smaller than the sum of its proper divisors (391387438).

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

329834420 is a wasteful number, since it uses less digits than its factorization.

329834420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 329834420 is about 18161.3441132533. The cubic root of 329834420 is about 690.9267250913.

The spelling of 329834420 in words is "three hundred twenty-nine million, eight hundred thirty-four thousand, four hundred twenty".