34000710107 has 48 divisors (see below), whose sum is σ = 46319303520. Its totient is φ = 24634616832.

The previous prime is 34000710101. The next prime is 34000710137. The reversal of 34000710107 is 70101700043.

It is not a de Polignac number, because 34000710107 - 2¹⁴ = 34000693723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34000710101) 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, 358244 + ... + 443102.

It is an arithmetic number, because the mean of its divisors is an integer number (964985490).

Almost surely, 2^34000710107 is an apocalyptic number.

34000710107 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34000710107 is a deficient number, since it is larger than the sum of its proper divisors (12318593413).

34000710107 is a wasteful number, since it uses less digits than its factorization.

34000710107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84940 (or 84933 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The spelling of 34000710107 in words is "thirty-four billion, seven hundred ten thousand, one hundred seven".