3003220 has 72 divisors (see below), whose sum is σ = 7440552. Its totient is φ = 1013760.

The previous prime is 3003191. The next prime is 3003223. The reversal of 3003220 is 223003.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 2304324 = 836^2 + 1518^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3003197 and 3003206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41104 + ... + 41176.

It is an arithmetic number, because the mean of its divisors is an integer number (103341).

Almost surely, 2^3003220 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 3003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720276).

3003220 is an abundant number, since it is smaller than the sum of its proper divisors (4437332).

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

3003220 is a wasteful number, since it uses less digits than its factorization.

3003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3003220 is about 1732.9800922111. The cubic root of 3003220 is about 144.2765390649.

Adding to 3003220 its reverse (223003), we get a palindrome (3226223).

It can be divided in two parts, 3003 and 220, that added together give a palindrome (3223).

The spelling of 3003220 in words is "three million, three thousand, two hundred twenty".