39488768 has 72 divisors (see below), whose sum is σ = 88546080. Its totient is φ = 17418240.

The previous prime is 39488767. The next prime is 39488791. The reversal of 39488768 is 86788493.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39488767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104003 + ... + 104381.

Almost surely, 2^39488768 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 39488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44273040).

39488768 is an abundant number, since it is smaller than the sum of its proper divisors (49057312).

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

39488768 is a wasteful number, since it uses less digits than its factorization.

39488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 39488768 is about 6284.0089115150. The cubic root of 39488768 is about 340.5319470084.

The spelling of 39488768 in words is "thirty-nine million, four hundred eighty-eight thousand, seven hundred sixty-eight".