38281120 has 48 divisors (see below), whose sum is σ = 91814688. Its totient is φ = 15079680.

The previous prime is 38281081. The next prime is 38281129. The reversal of 38281120 is 2118283.

It is not an unprimeable number, because it can be changed into a prime (38281129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8935 + ... + 12505.

It is an arithmetic number, because the mean of its divisors is an integer number (1912806).

Almost surely, 2^38281120 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 38281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45907344).

38281120 is an abundant number, since it is smaller than the sum of its proper divisors (53533568).

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

38281120 is a wasteful number, since it uses less digits than its factorization.

38281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 38281120 is about 6187.1738297869. The cubic root of 38281120 is about 337.0245559685.

The spelling of 38281120 in words is "thirty-eight million, two hundred eighty-one thousand, one hundred twenty".