3823200 has 180 divisors, whose sum is σ = 14178780. Its totient is φ = 1002240.

The previous prime is 3823187. The next prime is 3823201. The reversal of 3823200 is 23283.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an Ulam number.

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 (3823201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64771 + ... + 64829.

It is an arithmetic number, because the mean of its divisors is an integer number (78771).

Almost surely, 2^3823200 is an apocalyptic number.

3823200 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 3823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089390).

3823200 is an abundant number, since it is smaller than the sum of its proper divisors (10355580).

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

3823200 is a wasteful number, since it uses less digits than its factorization.

3823200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

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

The square root of 3823200 is about 1955.3004884160. The cubic root of 3823200 is about 156.3660045202.

Adding to 3823200 its reverse (23283), we get a palindrome (3846483).

The spelling of 3823200 in words is "three million, eight hundred twenty-three thousand, two hundred".