3066336 has 180 divisors, whose sum is σ = 11160072. Its totient is φ = 808704.

The previous prime is 3066319. The next prime is 3066347. The reversal of 3066336 is 6336603.

3066336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 29 ways as a sum of consecutive naturals, for example, 235866 + ... + 235878.

Almost surely, 2^3066336 is an apocalyptic number.

3066336 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 3066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580036).

3066336 is an abundant number, since it is smaller than the sum of its proper divisors (8093736).

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

3066336 is a wasteful number, since it uses less digits than its factorization.

3066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3066336 is about 1751.0956570102. The cubic root of 3066336 is about 145.2802506998.

It can be divided in two parts, 30 and 66336, that added together give a palindrome (66366).

The spelling of 3066336 in words is "three million, sixty-six thousand, three hundred thirty-six".