34012341104 has 160 divisors (see below), whose sum is σ = 81894758400. Its totient is φ = 13360343040.

The previous prime is 34012341079. The next prime is 34012341109. The reversal of 34012341104 is 40114321043.

It is a self number, because there is not a number n which added to its sum of digits gives 34012341104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012341109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8899514 + ... + 8903334.

It is an arithmetic number, because the mean of its divisors is an integer number (511842240).

Almost surely, 2^34012341104 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 34012341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947379200).

34012341104 is an abundant number, since it is smaller than the sum of its proper divisors (47882417296).

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

34012341104 is a wasteful number, since it uses less digits than its factorization.

34012341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34012341104 its reverse (40114321043), we get a palindrome (74126662147).

The spelling of 34012341104 in words is "thirty-four billion, twelve million, three hundred forty-one thousand, one hundred four".