34208856 has 96 divisors (see below), whose sum is σ = 103334400. Its totient is φ = 10134720.

The previous prime is 34208851. The next prime is 34208857. The reversal of 34208856 is 65880243.

34208856 is a nontrivial binomial coefficient, being equal to C(8272, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34208856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34208851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36765 + ... + 37683.

It is an arithmetic number, because the mean of its divisors is an integer number (1076400).

Almost surely, 2^34208856 is an apocalyptic number.

34208856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34208856 is the 8271-st triangular number and also the 4136-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34208856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667200).

34208856 is an abundant number, since it is smaller than the sum of its proper divisors (69125544).

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

34208856 is a wasteful number, since it uses less digits than its factorization.

34208856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34208856 is about 5848.8337298986. The cubic root of 34208856 is about 324.6231719261.

The spelling of 34208856 in words is "thirty-four million, two hundred eight thousand, eight hundred fifty-six".