39638256 has 120 divisors (see below), whose sum is σ = 125527680. Its totient is φ = 10717056.

The previous prime is 39638251. The next prime is 39638281. The reversal of 39638256 is 65283693.

39638256 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39638251) 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 23 ways as a sum of consecutive naturals, for example, 44245 + ... + 45131.

It is an arithmetic number, because the mean of its divisors is an integer number (1046064).

Almost surely, 2^39638256 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 39638256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763840).

39638256 is an abundant number, since it is smaller than the sum of its proper divisors (85889424).

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

39638256 is a wasteful number, since it uses less digits than its factorization.

39638256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 39638256 is about 6295.8919939910. The cubic root of 39638256 is about 340.9611098770.

The spelling of 39638256 in words is "thirty-nine million, six hundred thirty-eight thousand, two hundred fifty-six".