34860068256 has 96 divisors (see below), whose sum is σ = 98689788288. Its totient is φ = 10710604800.

The previous prime is 34860068237. The next prime is 34860068297. The reversal of 34860068256 is 65286006843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854925 + ... + 894771.

It is an arithmetic number, because the mean of its divisors is an integer number (1028018628).

Almost surely, 2^34860068256 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 34860068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49344894144).

34860068256 is an abundant number, since it is smaller than the sum of its proper divisors (63829720032).

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

34860068256 is a wasteful number, since it uses less digits than its factorization.

34860068256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40574 (or 40566 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 34860068256 in words is "thirty-four billion, eight hundred sixty million, sixty-eight thousand, two hundred fifty-six".