38318112 has 144 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 10768896.

The previous prime is 38318107. The next prime is 38318123. The reversal of 38318112 is 21181383.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 167214 + ... + 167442.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 2^38318112 is an apocalyptic number.

38318112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38318112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

38318112 is an abundant number, since it is smaller than the sum of its proper divisors (88266528).

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

38318112 is a wasteful number, since it uses less digits than its factorization.

38318112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 38318112 is about 6190.1625180604. The cubic root of 38318112 is about 337.1330794281.

Adding to 38318112 its reverse (21181383), we get a palindrome (59499495).

The spelling of 38318112 in words is "thirty-eight million, three hundred eighteen thousand, one hundred twelve".