3083220 has 72 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 704448.

The previous prime is 3083209. The next prime is 3083221. The reversal of 3083220 is 223803.

3083220 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

3083220 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3083193 and 3083202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083221) 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, 37 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (148512).

Almost surely, 2^3083220 is an apocalyptic number.

3083220 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 3083220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

3083220 is an abundant number, since it is smaller than the sum of its proper divisors (7609644).

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

3083220 is a wasteful number, since it uses less digits than its factorization.

3083220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2464 counting only the distinct ones).

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

The square root of 3083220 is about 1755.9100204737. The cubic root of 3083220 is about 145.5464123732.

The spelling of 3083220 in words is "three million, eighty-three thousand, two hundred twenty".