34344424200 has 192 divisors, whose sum is σ = 107438123520. Its totient is φ = 9075456000.

The previous prime is 34344424183. The next prime is 34344424211. The reversal of 34344424200 is 242444343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56580297 + ... + 56580903.

It is an arithmetic number, because the mean of its divisors is an integer number (559573560).

Almost surely, 2^34344424200 is an apocalyptic number.

34344424200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34344424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53719061760).

34344424200 is an abundant number, since it is smaller than the sum of its proper divisors (73093699320).

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

34344424200 is a wasteful number, since it uses less digits than its factorization.

34344424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34344424200 its reverse (242444343), we get a palindrome (34586868543).

The spelling of 34344424200 in words is "thirty-four billion, three hundred forty-four million, four hundred twenty-four thousand, two hundred".