3810800 has 60 divisors (see below), whose sum is σ = 10471056. Its totient is φ = 1305600.

The previous prime is 3810797. The next prime is 3810809. The reversal of 3810800 is 80183.

3810800 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2120 + ... + 3480.

Almost surely, 2^3810800 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 3810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235528).

3810800 is an abundant number, since it is smaller than the sum of its proper divisors (6660256).

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

3810800 is a wasteful number, since it uses less digits than its factorization.

3810800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 3810800 is about 1952.1270450460. The cubic root of 3810800 is about 156.1967712022.

Adding to 3810800 its reverse (80183), we get a palindrome (3890983).

The spelling of 3810800 in words is "three million, eight hundred ten thousand, eight hundred".