34310233045000 has 240 divisors, whose sum is σ = 88388990515980. Its totient is φ = 12472542720000.

The previous prime is 34310233044947. The next prime is 34310233045027. The reversal of 34310233045000 is 54033201343.

It can be written as a sum of positive squares in 10 ways, for example, as 2394490087396 + 31915742957604 = 1547414^2 + 5649402^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34310233045000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2527078212 + ... + 2527091788.

Almost surely, 2^{34310233045000} 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 34310233045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44194495257990).

34310233045000 is an abundant number, since it is smaller than the sum of its proper divisors (54078757470980).

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

34310233045000 is a wasteful number, since it uses less digits than its factorization.

34310233045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17802 (or 17772 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 34310233045000 its reverse (54033201343), we get a palindrome (34364266246343).

The spelling of 34310233045000 in words is "thirty-four trillion, three hundred ten billion, two hundred thirty-three million, forty-five thousand".