3022400 has 42 divisors (see below), whose sum is σ = 7440930. Its totient is φ = 1208320.

The previous prime is 3022391. The next prime is 3022403. The reversal of 3022400 is 42203.

3022400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 2849344 = 416^2 + 1688^2 .

It is not an unprimeable number, because it can be changed into a prime (3022403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (177165).

Almost surely, 2^3022400 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 3022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720465).

3022400 is an abundant number, since it is smaller than the sum of its proper divisors (4418530).

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

3022400 is a wasteful number, since it uses less digits than its factorization.

3022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3022400 is about 1738.5051049681. The cubic root of 3022400 is about 144.5830272002.

Adding to 3022400 its reverse (42203), we get a palindrome (3064603).

The spelling of 3022400 in words is "three million, twenty-two thousand, four hundred".