38633248 has 48 divisors (see below), whose sum is σ = 82301184. Its totient is φ = 17781760.

The previous prime is 38633239. The next prime is 38633267. The reversal of 38633248 is 84233683.

38633248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24813 + ... + 26323.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608).

Almost surely, 2^38633248 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 38633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41150592).

38633248 is an abundant number, since it is smaller than the sum of its proper divisors (43667936).

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

38633248 is a wasteful number, since it uses less digits than its factorization.

38633248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 38633248 is about 6215.5649783427. The cubic root of 38633248 is about 338.0547744523.

The spelling of 38633248 in words is "thirty-eight million, six hundred thirty-three thousand, two hundred forty-eight".