3306420 has 120 divisors (see below), whose sum is σ = 11241384. Its totient is φ = 808704.

The previous prime is 3306397. The next prime is 3306427. The reversal of 3306420 is 246033.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 3305124 = 36^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3306393 and 3306402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20982 + ... + 21138.

Almost surely, 2^3306420 is an apocalyptic number.

3306420 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 3306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620692).

3306420 is an abundant number, since it is smaller than the sum of its proper divisors (7934964).

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

3306420 is a wasteful number, since it uses less digits than its factorization.

3306420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3306420 is about 1818.3564007092. The cubic root of 3306420 is about 148.9770395382.

The spelling of 3306420 in words is "three million, three hundred six thousand, four hundred twenty".