383838 has 64 divisors (see below), whose sum is σ = 1021440. Its totient is φ = 93312.

The previous prime is 383837. The next prime is 383839. The reversal of 383838 is 838383.

It is a happy number.

383838 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (383837) and next prime (383839).

It is a super-2 number, since 2×383838² = 294663220488, which contains 22 as substring.

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

383838 is an undulating number in base 10 and base 11.

383838 is a modest number, since divided by 3838 gives 38 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 383799 and 383808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10356 + ... + 10392.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2³⁸³⁸³⁸ is an apocalyptic number.

383838 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 383838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510720).

383838 is an abundant number, since it is smaller than the sum of its proper divisors (637602).

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

383838 is a wasteful number, since it uses less digits than its factorization.

383838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its digits is 13824, while the sum is 33.

The square root of 383838 is about 619.5466084162. The cubic root of 383838 is about 72.6746009722.

Adding to 383838 its reverse (838383), we get a palindrome (1222221).

It can be divided in two parts, 383 and 838, that added together give a palindrome (1221).

The spelling of 383838 in words is "three hundred eighty-three thousand, eight hundred thirty-eight".