34239540114 has 144 divisors (see below), whose sum is σ = 83382638976. Its totient is φ = 10093014720.

The previous prime is 34239540059. The next prime is 34239540119. The reversal of 34239540114 is 41104593243.

34239540114 is a `hidden beast` number, since 3 + 4 + 239 + 5 + 401 + 14 = 666.

It is a super-2 number, since 2×34239540114² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34239540119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24060807 + ... + 24062229.

It is an arithmetic number, because the mean of its divisors is an integer number (579046104).

Almost surely, 2^34239540114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34239540114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41691319488).

34239540114 is an abundant number, since it is smaller than the sum of its proper divisors (49143098862).

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

34239540114 is a wasteful number, since it uses less digits than its factorization.

34239540114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34239540114 in words is "thirty-four billion, two hundred thirty-nine million, five hundred forty thousand, one hundred fourteen".