38644224 has 80 divisors (see below), whose sum is σ = 104264160. Its totient is φ = 12718080.

The previous prime is 38644223. The next prime is 38644231. The reversal of 38644224 is 42244683.

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

It is not an unprimeable number, because it can be changed into a prime (38644223) 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, 213414 + ... + 213594.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^38644224 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 38644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080).

38644224 is an abundant number, since it is smaller than the sum of its proper divisors (65619936).

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

38644224 is a wasteful number, since it uses less digits than its factorization.

38644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 38644224 is about 6216.4478603138. The cubic root of 38644224 is about 338.0867860663.

The spelling of 38644224 in words is "thirty-eight million, six hundred forty-four thousand, two hundred twenty-four".