38644144 has 60 divisors (see below), whose sum is σ = 95036328. Its totient is φ = 15052800.

The previous prime is 38644141. The next prime is 38644147. The reversal of 38644144 is 44144683.

It is an interprime number because it is at equal distance from previous prime (38644141) and next prime (38644147).

It is not an unprimeable number, because it can be changed into a prime (38644141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6384 + ... + 10864.

Almost surely, 2^38644144 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 38644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47518164).

38644144 is an abundant number, since it is smaller than the sum of its proper divisors (56392184).

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

38644144 is a wasteful number, since it uses less digits than its factorization.

38644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4501 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 38644144 is about 6216.4414257676. The cubic root of 38644144 is about 338.0865527674.

It can be divided in two parts, 3864 and 4144, that added together give a palindrome (8008).

The spelling of 38644144 in words is "thirty-eight million, six hundred forty-four thousand, one hundred forty-four".