34312134114 has 96 divisors (see below), whose sum is σ = 80557835904. Its totient is φ = 10925228160.

The previous prime is 34312134113. The next prime is 34312134151. The reversal of 34312134114 is 41143121343.

34312134114 is a `hidden beast` number, since 3 + 4 + 31 + 213 + 411 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34312134113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10651024 + ... + 10654244.

It is an arithmetic number, because the mean of its divisors is an integer number (839144124).

Almost surely, 2^34312134114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34312134114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40278917952).

34312134114 is an abundant number, since it is smaller than the sum of its proper divisors (46245701790).

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

34312134114 is a wasteful number, since it uses less digits than its factorization.

34312134114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4202 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 34312134114 its reverse (41143121343), we get a palindrome (75455255457).

The spelling of 34312134114 in words is "thirty-four billion, three hundred twelve million, one hundred thirty-four thousand, one hundred fourteen".