3337985 has 16 divisors (see below), whose sum is σ = 4607616. Its totient is φ = 2274048.

The previous prime is 3337979. The next prime is 3337991. The reversal of 3337985 is 5897333.

3337985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3337979) and next prime (3337991).

It is not a de Polignac number, because 3337985 - 2⁴ = 3337969 is a prime.

It is a super-2 number, since 2×3337985² = 22284287720450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 9737 + ... + 10073.

It is an arithmetic number, because the mean of its divisors is an integer number (287976).

Almost surely, 2^3337985 is an apocalyptic number.

3337985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3337985 is a deficient number, since it is larger than the sum of its proper divisors (1269631).

3337985 is a wasteful number, since it uses less digits than its factorization.

3337985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its digits is 68040, while the sum is 38.

The square root of 3337985 is about 1827.0153256062. The cubic root of 3337985 is about 149.4496125910.

The spelling of 3337985 in words is "three million, three hundred thirty-seven thousand, nine hundred eighty-five".