38644 has 6 divisors (see below), whose sum is σ = 67634. Its totient is φ = 19320.

The previous prime is 38639. The next prime is 38651. The reversal of 38644 is 44683.

38644 = T₁₃₇ + T₁₃₈ + ... + T₁₄₀.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 19044 = 140^2 + 138^2 .

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

38644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4827 + ... + 4834.

2³⁸⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

38644 is a deficient number, since it is larger than the sum of its proper divisors (28990).

38644 is a wasteful number, since it uses less digits than its factorization.

38644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665 (or 9663 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 38644 is about 196.5807722032. The cubic root of 38644 is about 33.8086132829.

The spelling of 38644 in words is "thirty-eight thousand, six hundred forty-four".