3218420 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 1196160.

The previous prime is 3218417. The next prime is 3218431. The reversal of 3218420 is 248123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 3¹² + 2 + 1 + 8⁷ + 4⁸ + 2¹⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3218392 and 3218401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17891 + ... + 18069.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3218420 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 3218420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

3218420 is an abundant number, since it is smaller than the sum of its proper divisors (4039180).

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

3218420 is a wasteful number, since it uses less digits than its factorization.

3218420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3218420 is about 1793.9955406857. The cubic root of 3218420 is about 147.6434685660.

The spelling of 3218420 in words is "three million, two hundred eighteen thousand, four hundred twenty".