34506325000 has 192 divisors, whose sum is σ = 96451326720. Its totient is φ = 11315040000.

The previous prime is 34506324971. The next prime is 34506325019. The reversal of 34506325000 is 52360543.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34506325000.

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 47 ways as a sum of consecutive naturals, for example, 4020714 + ... + 4029286.

It is an arithmetic number, because the mean of its divisors is an integer number (502350660).

Almost surely, 2^34506325000 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 34506325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48225663360).

34506325000 is an abundant number, since it is smaller than the sum of its proper divisors (61945001720).

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

34506325000 is an equidigital number, since it uses as much as digits as its factorization.

34506325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 34506325000 its reverse (52360543), we get a palindrome (34558685543).

The spelling of 34506325000 in words is "thirty-four billion, five hundred six million, three hundred twenty-five thousand".