34345110114 has 96 divisors (see below), whose sum is σ = 85779622656. Its totient is φ = 9728449920.

The previous prime is 34345110073. The next prime is 34345110127. The reversal of 34345110114 is 41101154343.

34345110114 is a `hidden beast` number, since 3 + 4 + 34 + 511 + 0 + 114 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8856744 + ... + 8860620.

It is an arithmetic number, because the mean of its divisors is an integer number (893537736).

Almost surely, 2^34345110114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345110114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42889811328).

34345110114 is an abundant number, since it is smaller than the sum of its proper divisors (51434512542).

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

34345110114 is a wasteful number, since it uses less digits than its factorization.

34345110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34345110114 its reverse (41101154343), we get a palindrome (75446264457).

The spelling of 34345110114 in words is "thirty-four billion, three hundred forty-five million, one hundred ten thousand, one hundred fourteen".