3306840 has 64 divisors (see below), whose sum is σ = 10510560. Its totient is φ = 829440.

The previous prime is 3306839. The next prime is 3306847. The reversal of 3306840 is 486033.

3306840 = T₁₄₉ + T₁₅₀ + ... + T₂₈₄.

3306840 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 (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3306840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306847) 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 15 ways as a sum of consecutive naturals, for example, 1230 + ... + 2850.

Almost surely, 2^3306840 is an apocalyptic number.

3306840 is a gapful number since it is divisible by the number (30) 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 3306840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255280).

3306840 is an abundant number, since it is smaller than the sum of its proper divisors (7203720).

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

3306840 is a wasteful number, since it uses less digits than its factorization.

3306840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3306840 is about 1818.4718859526. The cubic root of 3306840 is about 148.9833472373.

The spelling of 3306840 in words is "three million, three hundred six thousand, eight hundred forty".