34107827512 has 96 divisors (see below), whose sum is σ = 73958416560. Its totient is φ = 14715993600.

The previous prime is 34107827503. The next prime is 34107827521. The reversal of 34107827512 is 21572870143.

It is an interprime number because it is at equal distance from previous prime (34107827503) and next prime (34107827521).

It is a super-2 number, since 2×34107827512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1456843 + ... + 1480069.

Almost surely, 2^34107827512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34107827512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36979208280).

34107827512 is an abundant number, since it is smaller than the sum of its proper divisors (39850589048).

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

34107827512 is a wasteful number, since it uses less digits than its factorization.

34107827512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23333 (or 23318 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 34107827512 in words is "thirty-four billion, one hundred seven million, eight hundred twenty-seven thousand, five hundred twelve".