34311412314 has 96 divisors (see below), whose sum is σ = 79929270720. Its totient is φ = 10604265984.

The previous prime is 34311412313. The next prime is 34311412319. The reversal of 34311412314 is 41321411343.

34311412314 is a `hidden beast` number, since 34 + 311 + 4 + 1 + 2 + 314 = 666.

It is not an unprimeable number, because it can be changed into a prime (34311412313) 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, 8027682 + ... + 8031954.

It is an arithmetic number, because the mean of its divisors is an integer number (832596570).

Almost surely, 2^34311412314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34311412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39964635360).

34311412314 is an abundant number, since it is smaller than the sum of its proper divisors (45617858406).

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

34311412314 is a wasteful number, since it uses less digits than its factorization.

34311412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4793 counting only the distinct ones).

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

Adding to 34311412314 its reverse (41321411343), we get a palindrome (75632823657).

The spelling of 34311412314 in words is "thirty-four billion, three hundred eleven million, four hundred twelve thousand, three hundred fourteen".