34065856 has 84 divisors (see below), whose sum is σ = 76617576. Its totient is φ = 15009280.

The previous prime is 34065853. The next prime is 34065881. The reversal of 34065856 is 65856043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34065853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410391 + ... + 410473.

It is an arithmetic number, because the mean of its divisors is an integer number (912114).

Almost surely, 2^34065856 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 34065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38308788).

34065856 is an abundant number, since it is smaller than the sum of its proper divisors (42551720).

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

34065856 is a wasteful number, since it uses less digits than its factorization.

34065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 34065856 is about 5836.5962683742. The cubic root of 34065856 is about 324.1702098095.

The spelling of 34065856 in words is "thirty-four million, sixty-five thousand, eight hundred fifty-six".