3816400 has 120 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1236480.

The previous prime is 3816391. The next prime is 3816427. The reversal of 3816400 is 46183.

3816400 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

3816400 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81177 + ... + 81223.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

Almost surely, 2^3816400 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 3816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

3816400 is an abundant number, since it is smaller than the sum of its proper divisors (7254320).

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

3816400 is a wasteful number, since it uses less digits than its factorization.

3816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3816400 is about 1953.5608513686. The cubic root of 3816400 is about 156.2732445419.

The spelling of 3816400 in words is "three million, eight hundred sixteen thousand, four hundred".