34402243203200 has 192 divisors, whose sum is σ = 85188159457800. Its totient is φ = 13727926517760.

The previous prime is 34402243203187. The next prime is 34402243203203. The reversal of 34402243203200 is 230234220443.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4257487503424 + 30144755699776 = 2063368^2 + 5490424^2 .

It is not an unprimeable number, because it can be changed into a prime (34402243203203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2479791464 + ... + 2479805336.

Almost surely, 2^{34402243203200} 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 34402243203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42594079728900).

34402243203200 is an abundant number, since it is smaller than the sum of its proper divisors (50785916254600).

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

34402243203200 is a wasteful number, since it uses less digits than its factorization.

34402243203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34402243203200 its reverse (230234220443), we get a palindrome (34632477423643).

The spelling of 34402243203200 in words is "thirty-four trillion, four hundred two billion, two hundred forty-three million, two hundred three thousand, two hundred".