38282240 has 44 divisors (see below), whose sum is σ = 91844796. Its totient is φ = 15310848.

The previous prime is 38282239. The next prime is 38282243. The reversal of 38282240 is 4228283.

It can be written as a sum of positive squares in 2 ways, for example, as 27206656 + 11075584 = 5216^2 + 3328^2 .

It is not an unprimeable number, because it can be changed into a prime (38282243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382 + ... + 8858.

Almost surely, 2^38282240 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 38282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45922398).

38282240 is an abundant number, since it is smaller than the sum of its proper divisors (53562556).

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

38282240 is an equidigital number, since it uses as much as digits as its factorization.

38282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 38282240 is about 6187.2643389466. The cubic root of 38282240 is about 337.0278427395.

The spelling of 38282240 in words is "thirty-eight million, two hundred eighty-two thousand, two hundred forty".