3212820 has 72 divisors (see below), whose sum is σ = 10502856. Its totient is φ = 790272.

The previous prime is 3212819. The next prime is 3212849. The reversal of 3212820 is 282123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 2566404 = 804^2 + 1602^2 .

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 = 3212793 and 3212802.

It is a congruent number.

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, 1654 + ... + 3026.

It is an arithmetic number, because the mean of its divisors is an integer number (145873).

Almost surely, 2^3212820 is an apocalyptic number.

3212820 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 3212820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251428).

3212820 is an abundant number, since it is smaller than the sum of its proper divisors (7290036).

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

3212820 is a wasteful number, since it uses less digits than its factorization.

3212820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3212820 is about 1792.4340992070. The cubic root of 3212820 is about 147.5577864166.

Adding to 3212820 its reverse (282123), we get a palindrome (3494943).

The spelling of 3212820 in words is "three million, two hundred twelve thousand, eight hundred twenty".