38521248 has 96 divisors (see below), whose sum is σ = 105489216. Its totient is φ = 12300288.

The previous prime is 38521229. The next prime is 38521261. The reversal of 38521248 is 84212583.

It is a tau number, because it is divible by the number of its divisors (96).

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, 340840 + ... + 340952.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846).

Almost surely, 2^38521248 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 38521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52744608).

38521248 is an abundant number, since it is smaller than the sum of its proper divisors (66967968).

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

38521248 is a wasteful number, since it uses less digits than its factorization.

38521248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 38521248 is about 6206.5487994537. The cubic root of 38521248 is about 337.7277781999.

The spelling of 38521248 in words is "thirty-eight million, five hundred twenty-one thousand, two hundred forty-eight".