38442304 has 56 divisors (see below), whose sum is σ = 81884520. Its totient is φ = 17842176.

The previous prime is 38442293. The next prime is 38442323. The reversal of 38442304 is 40324483.

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 30824704 = 2760^2 + 5552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96634 + ... + 97030.

Almost surely, 2^38442304 is an apocalyptic number.

38442304 is a gapful number since it is divisible by the number (34) 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 38442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40942260).

38442304 is an abundant number, since it is smaller than the sum of its proper divisors (43442216).

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

38442304 is a wasteful number, since it uses less digits than its factorization.

38442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 38442304 is about 6200.1858036675. The cubic root of 38442304 is about 337.4969115401.

Adding to 38442304 its reverse (40324483), we get a palindrome (78766787).

It can be divided in two parts, 3844 and 2304, that multiplied together give a square (8856576 = 2976²).

The spelling of 38442304 in words is "thirty-eight million, four hundred forty-two thousand, three hundred four".