3354336 has 72 divisors (see below), whose sum is σ = 10057320. Its totient is φ = 1057536.

The previous prime is 3354331. The next prime is 3354341. The reversal of 3354336 is 6334533.

3354336 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 (3354331) and next prime (3354341).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3354336² = 22503140001792, which contains 22 as substring.

Its product of digits (9720) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354331) 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, 5166 + ... + 5778.

It is an arithmetic number, because the mean of its divisors is an integer number (139685).

Almost surely, 2^3354336 is an apocalyptic number.

3354336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028660).

3354336 is an abundant number, since it is smaller than the sum of its proper divisors (6702984).

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

3354336 is a wasteful number, since it uses less digits than its factorization.

3354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 3354336 is about 1831.4846436703. The cubic root of 3354336 is about 149.6932397486.

Adding to 3354336 its reverse (6334533), we get a palindrome (9688869).

The spelling of 3354336 in words is "three million, three hundred fifty-four thousand, three hundred thirty-six".