3213820 has 48 divisors (see below), whose sum is σ = 7162848. Its totient is φ = 1209600.

The previous prime is 3213811. The next prime is 3213827. The reversal of 3213820 is 283123.

It is a happy number.

3213820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213827) 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, 31770 + ... + 31870.

It is an arithmetic number, because the mean of its divisors is an integer number (149226).

Almost surely, 2^3213820 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 3213820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581424).

3213820 is an abundant number, since it is smaller than the sum of its proper divisors (3949028).

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

3213820 is a wasteful number, since it uses less digits than its factorization.

3213820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3213820 is about 1792.7130277878. The cubic root of 3213820 is about 147.5730940985.

Adding to 3213820 its reverse (283123), we get a palindrome (3496943).

It can be divided in two parts, 3213 and 820, that multiplied together give a triangular number (2634660 = T₂₂₉₅).

The spelling of 3213820 in words is "three million, two hundred thirteen thousand, eight hundred twenty".