34217856768 has 144 divisors (see below), whose sum is σ = 96548094720. Its totient is φ = 10721476608.

The previous prime is 34217856763. The next prime is 34217856791. The reversal of 34217856768 is 86765871243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34217856763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17219871 + ... + 17221857.

It is an arithmetic number, because the mean of its divisors is an integer number (670472880).

Almost surely, 2^34217856768 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 34217856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48274047360).

34217856768 is an abundant number, since it is smaller than the sum of its proper divisors (62330237952).

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

34217856768 is a wasteful number, since it uses less digits than its factorization.

34217856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3328 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 34217856768 in words is "thirty-four billion, two hundred seventeen million, eight hundred fifty-six thousand, seven hundred sixty-eight".