38864448 has 294 divisors, whose sum is σ = 142420086. Its totient is φ = 10450944.

The previous prime is 38864417. The next prime is 38864459. The reversal of 38864448 is 84446883.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 2286144 = 6048^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 2286136 + ... + 2286152.

Almost surely, 2^38864448 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 38864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71210043).

38864448 is an abundant number, since it is smaller than the sum of its proper divisors (103555638).

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

38864448 is an equidigital number, since it uses as much as digits as its factorization.

38864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 38864448 is about 6234.1357059339. The cubic root of 38864448 is about 338.7277946438.

The spelling of 38864448 in words is "thirty-eight million, eight hundred sixty-four thousand, four hundred forty-eight".