38648448 has 128 divisors (see below), whose sum is σ = 116769600. Its totient is φ = 12579840.

The previous prime is 38648437. The next prime is 38648471. The reversal of 38648448 is 84484683.

It is a tau number, because it is divible by the number of its divisors (128).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183063 + ... + 183273.

Almost surely, 2^38648448 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 38648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58384800).

38648448 is an abundant number, since it is smaller than the sum of its proper divisors (78121152).

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

38648448 is a wasteful number, since it uses less digits than its factorization.

38648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

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

The square root of 38648448 is about 6216.7875948918. The cubic root of 38648448 is about 338.0991037894.

The spelling of 38648448 in words is "thirty-eight million, six hundred forty-eight thousand, four hundred forty-eight".