34985208 has 64 divisors (see below), whose sum is σ = 92851200. Its totient is φ = 10961280.

The previous prime is 34985149. The next prime is 34985219. The reversal of 34985208 is 80258943.

It is a happy number.

34985208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33153 + ... + 34191.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 2^34985208 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 34985208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

34985208 is an abundant number, since it is smaller than the sum of its proper divisors (57865992).

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

34985208 is a wasteful number, since it uses less digits than its factorization.

34985208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 34985208 is about 5914.8294988106. The cubic root of 34985208 is about 327.0605429895.

The spelling of 34985208 in words is "thirty-four million, nine hundred eighty-five thousand, two hundred eight".