34304002304 has 144 divisors (see below), whose sum is σ = 80662780800. Its totient is φ = 14354350080.

The previous prime is 34304002217. The next prime is 34304002321. The reversal of 34304002304 is 40320040343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34304002304.

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 15 ways as a sum of consecutive naturals, for example, 16435949 + ... + 16438035.

It is an arithmetic number, because the mean of its divisors is an integer number (560158200).

Almost surely, 2^34304002304 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 34304002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40331390400).

34304002304 is an abundant number, since it is smaller than the sum of its proper divisors (46358778496).

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

34304002304 is a wasteful number, since it uses less digits than its factorization.

34304002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 34304002304 its reverse (40320040343), we get a palindrome (74624042647).

The spelling of 34304002304 in words is "thirty-four billion, three hundred four million, two thousand, three hundred four".