38054304 has 72 divisors (see below), whose sum is σ = 108877860. Its totient is φ = 12607488.

The previous prime is 38054287. The next prime is 38054309. The reversal of 38054304 is 40345083.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25522704 + 12531600 = 5052^2 + 3540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38054309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65664 + ... + 66240.

Almost surely, 2^38054304 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 38054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54438930).

38054304 is an abundant number, since it is smaller than the sum of its proper divisors (70823556).

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

38054304 is a wasteful number, since it uses less digits than its factorization.

38054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38054304 is about 6168.8170665047. The cubic root of 38054304 is about 336.3576124472.

Adding to 38054304 its reverse (40345083), we get a palindrome (78399387).

The spelling of 38054304 in words is "thirty-eight million, fifty-four thousand, three hundred four".