3022800 has 120 divisors (see below), whose sum is σ = 10609440. Its totient is φ = 729600.

The previous prime is 3022769. The next prime is 3022801. The reversal of 3022800 is 82203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3022800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022801) 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, 13086 + ... + 13314.

It is an arithmetic number, because the mean of its divisors is an integer number (88412).

Almost surely, 2^3022800 is an apocalyptic number.

3022800 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 3022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304720).

3022800 is an abundant number, since it is smaller than the sum of its proper divisors (7586640).

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

3022800 is a wasteful number, since it uses less digits than its factorization.

3022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3022800 is about 1738.6201425268. The cubic root of 3022800 is about 144.5894052066.

The spelling of 3022800 in words is "three million, twenty-two thousand, eight hundred".