34068128094 has 512 divisors, whose sum is σ = 106646077440. Its totient is φ = 7873200000.

The previous prime is 34068128071. The next prime is 34068128111. The reversal of 34068128094 is 49082186043.

It is a happy number.

34068128094 is a `hidden beast` number, since 3 + 406 + 81 + 2 + 80 + 94 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135729469 + ... + 135729719.

It is an arithmetic number, because the mean of its divisors is an integer number (208293120).

Almost surely, 2^34068128094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34068128094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53323038720).

34068128094 is an abundant number, since it is smaller than the sum of its proper divisors (72577949346).

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

34068128094 is a wasteful number, since it uses less digits than its factorization.

34068128094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34068128094 in words is "thirty-four billion, sixty-eight million, one hundred twenty-eight thousand, ninety-four".