34545103305200 has 120 divisors (see below), whose sum is σ = 85860335502000. Its totient is φ = 13340960174080.

The previous prime is 34545103305161. The next prime is 34545103305217. The reversal of 34545103305200 is 250330154543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329422376 + ... + 329527224.

It is an arithmetic number, because the mean of its divisors is an integer number (715502795850).

Almost surely, 2^{34545103305200} 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 34545103305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42930167751000).

34545103305200 is an abundant number, since it is smaller than the sum of its proper divisors (51315232196800).

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

34545103305200 is a wasteful number, since it uses less digits than its factorization.

34545103305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133299 (or 133288 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 34545103305200 its reverse (250330154543), we get a palindrome (34795433459743).

The spelling of 34545103305200 in words is "thirty-four trillion, five hundred forty-five billion, one hundred three million, three hundred five thousand, two hundred".