3396944 has 20 divisors (see below), whose sum is σ = 6809460. Its totient is φ = 1639680.

The previous prime is 3396937. The next prime is 3396971. The reversal of 3396944 is 4496933.

3396944 is nontrivially palindromic in base 11.

3396944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 547600 + 2849344 = 740^2 + 1688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3396898 and 3396907.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3197 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (340473).

Almost surely, 2^3396944 is an apocalyptic number.

It is an amenable number.

3396944 is an abundant number, since it is smaller than the sum of its proper divisors (3412516).

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

3396944 is a wasteful number, since it uses less digits than its factorization.

3396944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7352 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 3396944 is about 1843.0800308180. The cubic root of 3396944 is about 150.3243942464.

It can be divided in two parts, 339694 and 4, that multiplied together give a triangular number (1358776 = T₁₆₄₈).

The spelling of 3396944 in words is "three million, three hundred ninety-six thousand, nine hundred forty-four".