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3816 = 233253

3816 has 24 divisors (see below), whose sum is σ = 10530. Its totient is φ = 1248.

The previous prime is 3803. The next prime is 3821. The reversal of 3816 is 6183.

3816 divided by its sum of digits (18) gives a palindrome (212).

Adding to 3816 its reverse (6183), we get a palindrome (9999).

It can be written as a sum of positive squares in only one way, i.e., 2916 + 900 = 54^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14.

It is a nialpdrome in base 9 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3816.

It is an unprimeable number.

3816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46 + ... + 98.

23816 is an apocalyptic number.

3816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3816 is the 36-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265).

3816 is an abundant number, since it is smaller than the sum of its proper divisors (6714).

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

3816 is a wasteful number, since it uses less digits than its factorization.

3816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3816 is about 61.7737808459. The cubic root of 3816 is about 15.6267784642.

The spelling of 3816 in words is "three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816