3338409 has 16 divisors (see below), whose sum is σ = 4788288. Its totient is φ = 2061312.

The previous prime is 3338407. The next prime is 3338429. The reversal of 3338409 is 9048333.

It is a happy number.

3338409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3338409 - 2¹ = 3338407 is a prime.

It is a super-2 number, since 2×3338409² = 22289949302562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3338407) 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 15 ways as a sum of consecutive naturals, for example, 2929 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (299268).

Almost surely, 2^3338409 is an apocalyptic number.

3338409 is the 977-th nonagonal number.

It is an amenable number.

3338409 is a deficient number, since it is larger than the sum of its proper divisors (1449879).

3338409 is a wasteful number, since it uses less digits than its factorization.

3338409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3338409 is about 1827.1313581678. The cubic root of 3338409 is about 149.4559401562.

The spelling of 3338409 in words is "three million, three hundred thirty-eight thousand, four hundred nine".