34185216 has 112 divisors (see below), whose sum is σ = 99084384. Its totient is φ = 10420224.

The previous prime is 34185211. The next prime is 34185223. The reversal of 34185216 is 61258143.

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

It is not an unprimeable number, because it can be changed into a prime (34185211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319435 + ... + 319541.

It is an arithmetic number, because the mean of its divisors is an integer number (884682).

Almost surely, 2^34185216 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 34185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49542192).

34185216 is an abundant number, since it is smaller than the sum of its proper divisors (64899168).

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

34185216 is a wasteful number, since it uses less digits than its factorization.

34185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 34185216 is about 5846.8124649248. The cubic root of 34185216 is about 324.5483778418.

The spelling of 34185216 in words is "thirty-four million, one hundred eighty-five thousand, two hundred sixteen".