34112440334000 has 320 divisors, whose sum is σ = 98483530579200. Its totient is φ = 11180574720000.

The previous prime is 34112440333871. The next prime is 34112440334003. The reversal of 34112440334000 is 43304421143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (34112440334003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40590056 + ... + 41421944.

It is an arithmetic number, because the mean of its divisors is an integer number (307761033060).

Almost surely, 2^{34112440334000} 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 34112440334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49241765289600).

34112440334000 is an abundant number, since it is smaller than the sum of its proper divisors (64371090245200).

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

34112440334000 is a wasteful number, since it uses less digits than its factorization.

34112440334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832049 (or 832033 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34112440334000 its reverse (43304421143), we get a palindrome (34155744755143).

The spelling of 34112440334000 in words is "thirty-four trillion, one hundred twelve billion, four hundred forty million, three hundred thirty-four thousand".