3822400 has 42 divisors (see below), whose sum is σ = 9409430. Its totient is φ = 1528320.

The previous prime is 3822397. The next prime is 3822407. The reversal of 3822400 is 42283.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 3779136 = 208^2 + 1944^2 .

It is a super-2 number, since 2×3822400² = 29221483520000, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822407) 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, 406 + ... + 2794.

Almost surely, 2^3822400 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 3822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704715).

3822400 is an abundant number, since it is smaller than the sum of its proper divisors (5587030).

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

3822400 is a wasteful number, since it uses less digits than its factorization.

3822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3822400 is about 1955.0959055760. The cubic root of 3822400 is about 156.3550972933.

Adding to 3822400 its reverse (42283), we get a palindrome (3864683).

It can be divided in two parts, 3 and 822400, that added together give a triangular number (822403 = T₁₂₈₂).

The spelling of 3822400 in words is "three million, eight hundred twenty-two thousand, four hundred".