329400834 has 96 divisors (see below), whose sum is σ = 815601600. Its totient is φ = 88179840.

The previous prime is 329400833. The next prime is 329400839. The reversal of 329400834 is 438004923.

It is a junction number, because it is equal to n+sod(n) for n = 329400795 and 329400804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329400833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608604 + ... + 609144.

It is an arithmetic number, because the mean of its divisors is an integer number (8495850).

Almost surely, 2^329400834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329400834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407800800).

329400834 is an abundant number, since it is smaller than the sum of its proper divisors (486200766).

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

329400834 is a wasteful number, since it uses less digits than its factorization.

329400834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 329400834 is about 18149.4031306817. The cubic root of 329400834 is about 690.6238382460.

The spelling of 329400834 in words is "three hundred twenty-nine million, four hundred thousand, eight hundred thirty-four".