34385856 has 56 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 11311872.

The previous prime is 34385809. The next prime is 34385861. The reversal of 34385856 is 65858343.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14035 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^34385856 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 34385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

34385856 is an abundant number, since it is smaller than the sum of its proper divisors (57785664).

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

34385856 is a wasteful number, since it uses less digits than its factorization.

34385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2351 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 34385856 is about 5863.9454294869. The cubic root of 34385856 is about 325.1820865242.

The spelling of 34385856 in words is "thirty-four million, three hundred eighty-five thousand, eight hundred fifty-six".