38648000 has 56 divisors (see below), whose sum is σ = 95731584. Its totient is φ = 15456000.

The previous prime is 38647993. The next prime is 38648003. The reversal of 38648000 is 84683.

It is not an unprimeable number, because it can be changed into a prime (38648003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5585 + ... + 10415.

Almost surely, 2^38648000 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 38648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47865792).

38648000 is an abundant number, since it is smaller than the sum of its proper divisors (57083584).

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

38648000 is an equidigital number, since it uses as much as digits as its factorization.

38648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38648000 is about 6216.7515633166. The cubic root of 38648000 is about 338.0977974068.

The spelling of 38648000 in words is "thirty-eight million, six hundred forty-eight thousand".