38785760 has 96 divisors (see below), whose sum is σ = 102241440. Its totient is φ = 13805568.

The previous prime is 38785759. The next prime is 38785777. The reversal of 38785760 is 6758783.

38785760 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 an unprimeable number.

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, 59999 + ... + 60641.

It is an arithmetic number, because the mean of its divisors is an integer number (1065015).

Almost surely, 2^38785760 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 38785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120720).

38785760 is an abundant number, since it is smaller than the sum of its proper divisors (63455680).

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

38785760 is a wasteful number, since it uses less digits than its factorization.

38785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 38785760 is about 6227.8214489499. The cubic root of 38785760 is about 338.4990352609.

The spelling of 38785760 in words is "thirty-eight million, seven hundred eighty-five thousand, seven hundred sixty".