34024817125 has 48 divisors (see below), whose sum is σ = 47805239664. Its totient is φ = 24032976000.

The previous prime is 34024817111. The next prime is 34024817129. The reversal of 34024817125 is 52171842043.

It can be written as a sum of positive squares in 8 ways, for example, as 14430976641 + 19593840484 = 120129^2 + 139978^2 .

It is not a de Polignac number, because 34024817125 - 2⁷ = 34024816997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024817129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839835 + ... + 879415.

It is an arithmetic number, because the mean of its divisors is an integer number (995942493).

Almost surely, 2^34024817125 is an apocalyptic number.

It is an amenable number.

34024817125 is a deficient number, since it is larger than the sum of its proper divisors (13780422539).

34024817125 is a wasteful number, since it uses less digits than its factorization.

34024817125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39655 (or 39622 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 34024817125 in words is "thirty-four billion, twenty-four million, eight hundred seventeen thousand, one hundred twenty-five".