34842914766 has 96 divisors (see below), whose sum is σ = 83530137600. Its totient is φ = 10408357440.

The previous prime is 34842914759. The next prime is 34842914767. The reversal of 34842914766 is 66741924843.

34842914766 is a `hidden beast` number, since 3 + 4 + 84 + 2 + 91 + 476 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34842914767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12965875 + ... + 12968561.

It is an arithmetic number, because the mean of its divisors is an integer number (870105600).

Almost surely, 2^34842914766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34842914766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41765068800).

34842914766 is an abundant number, since it is smaller than the sum of its proper divisors (48687222834).

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

34842914766 is a wasteful number, since it uses less digits than its factorization.

34842914766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3611 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 34842914766 in words is "thirty-four billion, eight hundred forty-two million, nine hundred fourteen thousand, seven hundred sixty-six".