34324042545504 has 144 divisors (see below), whose sum is σ = 97710390453312. Its totient is φ = 11429468354304.

The previous prime is 34324042545503. The next prime is 34324042545563. The reversal of 34324042545504 is 40554524042343.

34324042545504 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 4 + 0 + 42 + 54 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34324042545504² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34324042545504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324042545503) 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, 1309914867 + ... + 1309941069.

It is an arithmetic number, because the mean of its divisors is an integer number (678544378148).

Almost surely, 2^{34324042545504} is an apocalyptic number.

It is an amenable number.

34324042545504 is an abundant number, since it is smaller than the sum of its proper divisors (63386347907808).

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

34324042545504 is a wasteful number, since it uses less digits than its factorization.

34324042545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30769 (or 30758 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 34324042545504 its reverse (40554524042343), we get a palindrome (74878566587847).

The spelling of 34324042545504 in words is "thirty-four trillion, three hundred twenty-four billion, forty-two million, five hundred forty-five thousand, five hundred four".