3816864 has 72 divisors (see below), whose sum is σ = 11253060. Its totient is φ = 1225728.

The previous prime is 3816863. The next prime is 3816877. The reversal of 3816864 is 4686183.

It is a happy number.

3816864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 176400 = 1908^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3816863) 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, 8124 + ... + 8580.

Almost surely, 2^3816864 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 3816864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626530).

3816864 is an abundant number, since it is smaller than the sum of its proper divisors (7436196).

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

3816864 is a wasteful number, since it uses less digits than its factorization.

3816864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3816864 is about 1953.6796052577. The cubic root of 3816864 is about 156.2795775474.

The spelling of 3816864 in words is "three million, eight hundred sixteen thousand, eight hundred sixty-four".