3811200 has 96 divisors (see below), whose sum is σ = 12584760. Its totient is φ = 1013760.

The previous prime is 3811193. The next prime is 3811201. The reversal of 3811200 is 21183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 3811200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9402 + ... + 9798.

Almost surely, 2^3811200 is an apocalyptic number.

3811200 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 3811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292380).

3811200 is an abundant number, since it is smaller than the sum of its proper divisors (8773560).

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

3811200 is a wasteful number, since it uses less digits than its factorization.

3811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3811200 is about 1952.2294947060. The cubic root of 3811200 is about 156.2022360672.

Adding to 3811200 its reverse (21183), we get a palindrome (3832383).

It can be divided in two parts, 3 and 811200, that multiplied together give a square (2433600 = 1560²).

The spelling of 3811200 in words is "three million, eight hundred eleven thousand, two hundred".