3337506 has 24 divisors (see below), whose sum is σ = 7283484. Its totient is φ = 1104480.

The previous prime is 3337501. The next prime is 3337561. The reversal of 3337506 is 6057333.

3337506 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 3272481 + 65025 = 1809^2 + 255^2 .

It is a super-2 number, since 2×3337506² = 22277892600072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3337506.

It is not an unprimeable number, because it can be changed into a prime (3337501) 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 11 ways as a sum of consecutive naturals, for example, 2236 + ... + 3416.

Almost surely, 2^3337506 is an apocalyptic number.

3337506 is an abundant number, since it is smaller than the sum of its proper divisors (3945978).

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

3337506 is a wasteful number, since it uses less digits than its factorization.

3337506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 3337506 is about 1826.8842327854. The cubic root of 3337506 is about 149.4424635885.

The spelling of 3337506 in words is "three million, three hundred thirty-seven thousand, five hundred six".