38517648 has 80 divisors (see below), whose sum is σ = 113492736. Its totient is φ = 11151360.

The previous prime is 38517641. The next prime is 38517649. The reversal of 38517648 is 84671583.

38517648 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 (38517641) 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, 8793 + ... + 12423.

Almost surely, 2^38517648 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 38517648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56746368).

38517648 is an abundant number, since it is smaller than the sum of its proper divisors (74975088).

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

38517648 is a wasteful number, since it uses less digits than its factorization.

38517648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3666 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 38517648 is about 6206.2587764288. The cubic root of 38517648 is about 337.7172570984.

The spelling of 38517648 in words is "thirty-eight million, five hundred seventeen thousand, six hundred forty-eight".