38242304 has 48 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 18780160.

The previous prime is 38242301. The next prime is 38242331. The reversal of 38242304 is 40324283.

It is not an unprimeable number, because it can be changed into a prime (38242301) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 145277 + ... + 145539.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^38242304 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 38242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

38242304 is an abundant number, since it is smaller than the sum of its proper divisors (39595456).

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

38242304 is an equidigital number, since it uses as much as digits as its factorization.

38242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 38242304 is about 6184.0362224036. The cubic root of 38242304 is about 336.9106062440.

Adding to 38242304 its reverse (40324283), we get a palindrome (78566587).

The spelling of 38242304 in words is "thirty-eight million, two hundred forty-two thousand, three hundred four".