34034243104 has 96 divisors (see below), whose sum is σ = 69400800000. Its totient is φ = 16420454400.

The previous prime is 34034243101. The next prime is 34034243119. The reversal of 34034243104 is 40134243043.

It is not an unprimeable number, because it can be changed into a prime (34034243101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68204647 + ... + 68205145.

It is an arithmetic number, because the mean of its divisors is an integer number (722925000).

Almost surely, 2^34034243104 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 34034243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400000).

34034243104 is an abundant number, since it is smaller than the sum of its proper divisors (35366556896).

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

34034243104 is a wasteful number, since it uses less digits than its factorization.

34034243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34034243104 its reverse (40134243043), we get a palindrome (74168486147).

The spelling of 34034243104 in words is "thirty-four billion, thirty-four million, two hundred forty-three thousand, one hundred four".