34344216 has 128 divisors (see below), whose sum is σ = 103680000. Its totient is φ = 10492416.

The previous prime is 34344209. The next prime is 34344239. The reversal of 34344216 is 61244343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34344216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172485 + ... + 172683.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 2^34344216 is an apocalyptic number.

34344216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34344216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

34344216 is an abundant number, since it is smaller than the sum of its proper divisors (69335784).

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

34344216 is a wasteful number, since it uses less digits than its factorization.

34344216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34344216 is about 5860.3938434204. The cubic root of 34344216 is about 325.0507723439.

Adding to 34344216 its reverse (61244343), we get a palindrome (95588559).

The spelling of 34344216 in words is "thirty-four million, three hundred forty-four thousand, two hundred sixteen".