3337664 has 42 divisors (see below), whose sum is σ = 7296912. Its totient is φ = 1513600.

The previous prime is 3337643. The next prime is 3337669. The reversal of 3337664 is 4667333.

3337664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3337664² = 22280001953792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 3⁵ + 3¹³ + 7⁵ + 6⁶ + 6⁸ + 4² .

It is a self number, because there is not a number n which added to its sum of digits gives 3337664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337669) 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 5 ways as a sum of consecutive naturals, for example, 7529 + ... + 7959.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^3337664 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 3337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648456).

3337664 is an abundant number, since it is smaller than the sum of its proper divisors (3959248).

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

3337664 is a wasteful number, since it uses less digits than its factorization.

3337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its digits is 27216, while the sum is 32.

The square root of 3337664 is about 1826.9274752983. The cubic root of 3337664 is about 149.4448217902. Note that the first 3 decimals are identical.

It can be divided in two parts, 333 and 7664, that added together give a palindrome (7997).

The spelling of 3337664 in words is "three million, three hundred thirty-seven thousand, six hundred sixty-four".