34213304332000 has 192 divisors, whose sum is σ = 90155974708800. Its totient is φ = 12720416716800.

The previous prime is 34213304331991. The next prime is 34213304332157. The reversal of 34213304332000 is 23340331243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34213304332000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218935 + ... + 8274934.

It is an arithmetic number, because the mean of its divisors is an integer number (469562368275).

Almost surely, 2^{34213304332000} 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 34213304332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077987354400).

34213304332000 is an abundant number, since it is smaller than the sum of its proper divisors (55942670376800).

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

34213304332000 is a wasteful number, since it uses less digits than its factorization.

34213304332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493966 (or 8493948 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 34213304332000 its reverse (23340331243), we get a palindrome (34236644663243).

The spelling of 34213304332000 in words is "thirty-four trillion, two hundred thirteen billion, three hundred four million, three hundred thirty-two thousand".