34224104200 has 384 divisors, whose sum is σ = 101344763520. Its totient is φ = 10554163200.

The previous prime is 34224104197. The next prime is 34224104219. The reversal of 34224104200 is 240142243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20905782 + ... + 20907418.

It is an arithmetic number, because the mean of its divisors is an integer number (263918655).

Almost surely, 2^34224104200 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 34224104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50672381760).

34224104200 is an abundant number, since it is smaller than the sum of its proper divisors (67120659320).

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

34224104200 is a wasteful number, since it uses less digits than its factorization.

34224104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34224104200 its reverse (240142243), we get a palindrome (34464246443).

The spelling of 34224104200 in words is "thirty-four billion, two hundred twenty-four million, one hundred four thousand, two hundred".