34300224200 has 192 divisors, whose sum is σ = 88154179200. Its totient is φ = 12308326400.

The previous prime is 34300224193. The next prime is 34300224241. The reversal of 34300224200 is 242200343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95543621 + ... + 95543979.

It is an arithmetic number, because the mean of its divisors is an integer number (459136350).

Almost surely, 2^34300224200 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 34300224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44077089600).

34300224200 is an abundant number, since it is smaller than the sum of its proper divisors (53853955000).

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

34300224200 is a wasteful number, since it uses less digits than its factorization.

34300224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34300224200 its reverse (242200343), we get a palindrome (34542424543).

The spelling of 34300224200 in words is "thirty-four billion, three hundred million, two hundred twenty-four thousand, two hundred".