38768576 has 56 divisors (see below), whose sum is σ = 95926656. Its totient is φ = 15102720.

The previous prime is 38768573. The next prime is 38768581. The reversal of 38768576 is 67586783.

38768576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a cake number, because a cake can be divided into 38768576 parts by 615 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38768573) 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 7 ways as a sum of consecutive naturals, for example, 995 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (1712976).

Almost surely, 2^38768576 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 38768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963328).

38768576 is an abundant number, since it is smaller than the sum of its proper divisors (57158080).

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

38768576 is a wasteful number, since it uses less digits than its factorization.

38768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897 (or 7887 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 38768576 is about 6226.4416804464. The cubic root of 38768576 is about 338.4490373005.

The spelling of 38768576 in words is "thirty-eight million, seven hundred sixty-eight thousand, five hundred seventy-six".