38688120 has 48 divisors (see below), whose sum is σ = 125737560. Its totient is φ = 10316736.

The previous prime is 38688103. The next prime is 38688121. The reversal of 38688120 is 2188683.

38688120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38688121) 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 11 ways as a sum of consecutive naturals, for example, 53374 + ... + 54093.

Almost surely, 2^38688120 is an apocalyptic number.

38688120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38688120 is an abundant number, since it is smaller than the sum of its proper divisors (87049440).

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

38688120 is a wasteful number, since it uses less digits than its factorization.

38688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107484 (or 107477 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38688120 is about 6219.9774919207. The cubic root of 38688120 is about 338.2147486301.

The spelling of 38688120 in words is "thirty-eight million, six hundred eighty-eight thousand, one hundred twenty".