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3836 = 227137

3836 has 12 divisors (see below), whose sum is σ = 7728. Its totient is φ = 1632.

The previous prime is 3833. The next prime is 3847. The reversal of 3836 is 6383.

3836 is nontrivially palindromic in base 13.

3836 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3836.

It is not an unprimeable number, because it can be changed into a prime (3833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (644).

It is an amenable number.

3836 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864).

3836 is a wasteful number, since it uses less digits than its factorization.

3836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3836 is about 61.9354502688. The cubic root of 3836 is about 15.6540313595.

The spelling of 3836 in words is "three thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 137 274 548 959 1918 3836