34395497568 has 144 divisors (see below), whose sum is σ = 102154590720. Its totient is φ = 10957047552.

The previous prime is 34395497533. The next prime is 34395497621. The reversal of 34395497568 is 86579459343.

34395497568 is a `hidden beast` number, since 3 + 4 + 3 + 95 + 497 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14432505 + ... + 14434887.

It is an arithmetic number, because the mean of its divisors is an integer number (709406880).

Almost surely, 2^34395497568 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 34395497568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51077295360).

34395497568 is an abundant number, since it is smaller than the sum of its proper divisors (67759093152).

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

34395497568 is a wasteful number, since it uses less digits than its factorization.

34395497568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4590 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 34395497568 in words is "thirty-four billion, three hundred ninety-five million, four hundred ninety-seven thousand, five hundred sixty-eight".