38832048 has 150 divisors (see below), whose sum is σ = 120047004. Its totient is φ = 12115008.

The previous prime is 38832047. The next prime is 38832071. The reversal of 38832048 is 84023883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38832041) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467815 + ... + 467897.

Almost surely, 2^38832048 is an apocalyptic number.

38832048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023502).

38832048 is an abundant number, since it is smaller than the sum of its proper divisors (81214956).

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

38832048 is a wasteful number, since it uses less digits than its factorization.

38832048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38832048 is about 6231.5365681347. The cubic root of 38832048 is about 338.6336397688.

The spelling of 38832048 in words is "thirty-eight million, eight hundred thirty-two thousand, forty-eight".