38632048 has 80 divisors (see below), whose sum is σ = 93257920. Its totient is φ = 15185664.

The previous prime is 38632043. The next prime is 38632057. The reversal of 38632048 is 84023683.

38632048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38632043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 245986 + ... + 246142.

It is an arithmetic number, because the mean of its divisors is an integer number (1165724).

Almost surely, 2^38632048 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 38632048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46628960).

38632048 is an abundant number, since it is smaller than the sum of its proper divisors (54625872).

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

38632048 is a wasteful number, since it uses less digits than its factorization.

38632048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 38632048 is about 6215.4684457408. The cubic root of 38632048 is about 338.0512742726.

The spelling of 38632048 in words is "thirty-eight million, six hundred thirty-two thousand, forty-eight".