34000287200 has 144 divisors (see below), whose sum is σ = 95315149440. Its totient is φ = 11712960000.

The previous prime is 34000287193. The next prime is 34000287221. The reversal of 34000287200 is 278200043.

It is a self number, because there is not a number n which added to its sum of digits gives 34000287200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 65525 + ... + 268875.

It is an arithmetic number, because the mean of its divisors is an integer number (661910760).

Almost surely, 2^34000287200 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 34000287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47657574720).

34000287200 is an abundant number, since it is smaller than the sum of its proper divisors (61314862240).

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

34000287200 is a wasteful number, since it uses less digits than its factorization.

34000287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203401 (or 203388 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 34000287200 its reverse (278200043), we get a palindrome (34278487243).

The spelling of 34000287200 in words is "thirty-four billion, two hundred eighty-seven thousand, two hundred".