3216420 has 72 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 844608.

The previous prime is 3216413. The next prime is 3216431. The reversal of 3216420 is 246123.

3216420 = T₅₅ + T₅₆ + ... + T₂₆₈.

It is a happy number.

3216420 is a `hidden beast` number, since 3 + 21 + 642 + 0 = 666.

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 = 3216393 and 3216402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19177 + ... + 19343.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^3216420 is an apocalyptic number.

3216420 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 3216420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3216420 is an abundant number, since it is smaller than the sum of its proper divisors (6690204).

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

3216420 is a wasteful number, since it uses less digits than its factorization.

3216420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3216420 is about 1793.4380390747. The cubic root of 3216420 is about 147.6128792163.

The spelling of 3216420 in words is "three million, two hundred sixteen thousand, four hundred twenty".