34034413112200 has 96 divisors (see below), whose sum is σ = 79248396081600. Its totient is φ = 13593404240640.

The previous prime is 34034413112197. The next prime is 34034413112207. The reversal of 34034413112200 is 221131443043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34034413112207) 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, 1051759621 + ... + 1051791979.

It is an arithmetic number, because the mean of its divisors is an integer number (825504125850).

Almost surely, 2^{34034413112200} is an apocalyptic number.

It is an amenable number.

34034413112200 is an abundant number, since it is smaller than the sum of its proper divisors (45213982969400).

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

34034413112200 is a wasteful number, since it uses less digits than its factorization.

34034413112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40079 (or 40070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34034413112200 its reverse (221131443043), we get a palindrome (34255544555243).

The spelling of 34034413112200 in words is "thirty-four trillion, thirty-four billion, four hundred thirteen million, one hundred twelve thousand, two hundred".