3395216 has 40 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 1520000.

The previous prime is 3395209. The next prime is 3395219. The reversal of 3395216 is 6125933.

3395216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3395219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17681 + ... + 17871.

Almost surely, 2^3395216 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 3395216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

3395216 is an abundant number, since it is smaller than the sum of its proper divisors (3890032).

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

3395216 is a wasteful number, since it uses less digits than its factorization.

3395216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 3395216 is about 1842.6111906748. The cubic root of 3395216 is about 150.2989002915.

It can be divided in two parts, 339 and 5216, that added together give a palindrome (5555).

The spelling of 3395216 in words is "three million, three hundred ninety-five thousand, two hundred sixteen".