38688496 has 80 divisors (see below), whose sum is σ = 96565248. Its totient is φ = 14572800.

The previous prime is 38688491. The next prime is 38688497. The reversal of 38688496 is 69488683.

38688496 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 not an unprimeable number, because it can be changed into a prime (38688491) 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 15 ways as a sum of consecutive naturals, for example, 37686 + ... + 38698.

Almost surely, 2^38688496 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 38688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282624).

38688496 is an abundant number, since it is smaller than the sum of its proper divisors (57876752).

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

38688496 is a wasteful number, since it uses less digits than its factorization.

38688496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 38688496 is about 6220.0077170370. The cubic root of 38688496 is about 338.2158443009.

The spelling of 38688496 in words is "thirty-eight million, six hundred eighty-eight thousand, four hundred ninety-six".