34065776808 has 192 divisors, whose sum is σ = 111838821120. Its totient is φ = 9144576000.

The previous prime is 34065776807. The next prime is 34065776831. The reversal of 34065776808 is 80867756043.

34065776808 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 577 + 68 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34065776803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5403258 + ... + 5409558.

It is an arithmetic number, because the mean of its divisors is an integer number (582493860).

Almost surely, 2^34065776808 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 34065776808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55919410560).

34065776808 is an abundant number, since it is smaller than the sum of its proper divisors (77773044312).

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

34065776808 is a wasteful number, since it uses less digits than its factorization.

34065776808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 34065776808 in words is "thirty-four billion, sixty-five million, seven hundred seventy-six thousand, eight hundred eight".