38037648 has 80 divisors (see below), whose sum is σ = 109046592. Its totient is φ = 11328000.

The previous prime is 38037641. The next prime is 38037661. The reversal of 38037648 is 84673083.

It is not an unprimeable number, because it can be changed into a prime (38037641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31618 + ... + 32798.

Almost surely, 2^38037648 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 38037648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54523296).

38037648 is an abundant number, since it is smaller than the sum of its proper divisors (71008944).

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

38037648 is a wasteful number, since it uses less digits than its factorization.

38037648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 38037648 is about 6167.4669030324. The cubic root of 38037648 is about 336.3085317969.

The spelling of 38037648 in words is "thirty-eight million, thirty-seven thousand, six hundred forty-eight".