34044125200 has 60 divisors (see below), whose sum is σ = 86602264020. Its totient is φ = 12816609280.

The previous prime is 34044125173. The next prime is 34044125231. The reversal of 34044125200 is 252144043.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12730624 + 34031394576 = 3568^2 + 184476^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2496445 + ... + 2510044.

It is an arithmetic number, because the mean of its divisors is an integer number (1443371067).

Almost surely, 2^34044125200 is an apocalyptic number.

It is an amenable number.

34044125200 is an abundant number, since it is smaller than the sum of its proper divisors (52558138820).

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

34044125200 is a wasteful number, since it uses less digits than its factorization.

34044125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006524 (or 5006513 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34044125200 its reverse (252144043), we get a palindrome (34296269243).

The spelling of 34044125200 in words is "thirty-four billion, forty-four million, one hundred twenty-five thousand, two hundred".