34300322304 has 80 divisors (see below), whose sum is σ = 92216984640. Its totient is φ = 11328491520.

The previous prime is 34300322237. The next prime is 34300322339. The reversal of 34300322304 is 40322300343.

It is a super-2 number, since 2×34300322304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 64989 + ... + 269859.

It is an arithmetic number, because the mean of its divisors is an integer number (1152712308).

Almost surely, 2^34300322304 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 34300322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46108492320).

34300322304 is an abundant number, since it is smaller than the sum of its proper divisors (57916662336).

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

34300322304 is a wasteful number, since it uses less digits than its factorization.

34300322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205001 (or 204985 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34300322304 its reverse (40322300343), we get a palindrome (74622622647).

The spelling of 34300322304 in words is "thirty-four billion, three hundred million, three hundred twenty-two thousand, three hundred four".