3838 has 8 divisors (see below), whose sum is σ = 6120. Its totient is φ = 1800.

The previous prime is 3833. The next prime is 3847. The reversal of 3838 is 8383.

3838 is nontrivially palindromic in base 16.

3838 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

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

3838 is an undulating number in base 10 and base 16.

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 3838.

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, 13 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

2³⁸³⁸ is an apocalyptic number.

3838 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

3838 is a deficient number, since it is larger than the sum of its proper divisors (2282).

3838 is a wasteful number, since it uses less digits than its factorization.

3838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

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

The square root of 3838 is about 61.9515940069. The cubic root of 3838 is about 15.6567514345.

Adding to 3838 its reverse (8383), we get a palindrome (12221).

It can be divided in two parts, 3 and 838, that added together give a square (841 = 29²).

The spelling of 3838 in words is "three thousand, eight hundred thirty-eight".