34113216 has 56 divisors (see below), whose sum is σ = 91033600. Its totient is φ = 11273472.

The previous prime is 34113197. The next prime is 34113217. The reversal of 34113216 is 61231143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34113192 and 34113201.

It is not an unprimeable number, because it can be changed into a prime (34113217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23685 + ... + 25083.

It is an arithmetic number, because the mean of its divisors is an integer number (1625600).

Almost surely, 2^34113216 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 34113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516800).

34113216 is an abundant number, since it is smaller than the sum of its proper divisors (56920384).

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

34113216 is a wasteful number, since it uses less digits than its factorization.

34113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1531 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 34113216 is about 5840.6520183966. The cubic root of 34113216 is about 324.3203659457.

Adding to 34113216 its reverse (61231143), we get a palindrome (95344359).

The spelling of 34113216 in words is "thirty-four million, one hundred thirteen thousand, two hundred sixteen".