39438144 has 112 divisors (see below), whose sum is σ = 120091200. Its totient is φ = 12676608.

The previous prime is 39438127. The next prime is 39438149. The reversal of 39438144 is 44183493.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 39438099 and 39438108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39438149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49719 + ... + 50505.

Almost surely, 2^39438144 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 39438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60045600).

39438144 is an abundant number, since it is smaller than the sum of its proper divisors (80653056).

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

39438144 is a wasteful number, since it uses less digits than its factorization.

39438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 39438144 is about 6279.9796178013. The cubic root of 39438144 is about 340.3863658540.

The spelling of 39438144 in words is "thirty-nine million, four hundred thirty-eight thousand, one hundred forty-four".