38848640 has 64 divisors (see below), whose sum is σ = 93948120. Its totient is φ = 15360000.

The previous prime is 38848627. The next prime is 38848657. The reversal of 38848640 is 4684883.

It can be written as a sum of positive squares in 4 ways, for example, as 38837824 + 10816 = 6232^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64340 + ... + 64940.

Almost surely, 2^38848640 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 38848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46974060).

38848640 is an abundant number, since it is smaller than the sum of its proper divisors (55099480).

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

38848640 is a wasteful number, since it uses less digits than its factorization.

38848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 38848640 is about 6232.8677187953. The cubic root of 38848640 is about 338.6818629041.

The spelling of 38848640 in words is "thirty-eight million, eight hundred forty-eight thousand, six hundred forty".