38648320 has 80 divisors (see below), whose sum is σ = 95851008. Its totient is φ = 14929920.

The previous prime is 38648287. The next prime is 38648333. The reversal of 38648320 is 2384683.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79117 + ... + 79603.

Almost surely, 2^38648320 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 38648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47925504).

38648320 is an abundant number, since it is smaller than the sum of its proper divisors (57202688).

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

38648320 is an equidigital number, since it uses as much as digits as its factorization.

38648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

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

The square root of 38648320 is about 6216.7773001773. Note that the first 3 decimals coincide. The cubic root of 38648320 is about 338.0987305383.

The spelling of 38648320 in words is "thirty-eight million, six hundred forty-eight thousand, three hundred twenty".