38238144 has 112 divisors (see below), whose sum is σ = 120749568. Its totient is φ = 10441728.

The previous prime is 38238143. The next prime is 38238163. The reversal of 38238144 is 44183283.

38238144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38238143) 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 15 ways as a sum of consecutive naturals, for example, 30294 + ... + 31530.

Almost surely, 2^38238144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374784).

38238144 is an abundant number, since it is smaller than the sum of its proper divisors (82511424).

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

38238144 is a wasteful number, since it uses less digits than its factorization.

38238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 38238144 is about 6183.6998633504. The cubic root of 38238144 is about 336.8983894160.

The spelling of 38238144 in words is "thirty-eight million, two hundred thirty-eight thousand, one hundred forty-four".