3816800 has 72 divisors (see below), whose sum is σ = 10061856. Its totient is φ = 1405440.

The previous prime is 3816793. The next prime is 3816803. The reversal of 3816800 is 86183.

3816800 is digitally balanced in base 2, because in such base 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3816800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816803) 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, 10217 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (139748).

Almost surely, 2^3816800 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 3816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030928).

3816800 is an abundant number, since it is smaller than the sum of its proper divisors (6245056).

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

3816800 is a wasteful number, since it uses less digits than its factorization.

3816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3816800 is about 1953.6632258401. The cubic root of 3816800 is about 156.2787040599.

The spelling of 3816800 in words is "three million, eight hundred sixteen thousand, eight hundred".