3836784 has 80 divisors (see below), whose sum is σ = 11943680. Its totient is φ = 1036800.

The previous prime is 3836771. The next prime is 3836801. The reversal of 3836784 is 4876383.

3836784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3836784² = 29441822925312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6084 + ... + 6684.

It is an arithmetic number, because the mean of its divisors is an integer number (149296).

Almost surely, 2^3836784 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 3836784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971840).

3836784 is an abundant number, since it is smaller than the sum of its proper divisors (8106896).

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

3836784 is a wasteful number, since it uses less digits than its factorization.

3836784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 3836784 is about 1958.7710432820. The cubic root of 3836784 is about 156.5509774150.

The spelling of 3836784 in words is "three million, eight hundred thirty-six thousand, seven hundred eighty-four".