38342304 has 432 divisors, whose sum is σ = 156854880. Its totient is φ = 8709120.

The previous prime is 38342303. The next prime is 38342309. The reversal of 38342304 is 40324383.

It is not an unprimeable number, because it can be changed into a prime (38342303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2018007 + ... + 2018025.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^38342304 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 38342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

38342304 is an abundant number, since it is smaller than the sum of its proper divisors (118512576).

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

38342304 is a wasteful number, since it uses less digits than its factorization.

38342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 38342304 is about 6192.1162779780. The cubic root of 38342304 is about 337.2040137481.

Adding to 38342304 its reverse (40324383), we get a palindrome (78666687).

The spelling of 38342304 in words is "thirty-eight million, three hundred forty-two thousand, three hundred four".