38644128 has 120 divisors (see below), whose sum is σ = 120473892. Its totient is φ = 12109824.

The previous prime is 38644087. The next prime is 38644141. The reversal of 38644128 is 82144683.

38644128 is a `hidden beast` number, since 3 + 8 + 644 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 4210704 = 5868^2 + 2052^2 .

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 = 38644092 and 38644101.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 43626 + ... + 44502.

Almost surely, 2^38644128 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 38644128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60236946).

38644128 is an abundant number, since it is smaller than the sum of its proper divisors (81829764).

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

38644128 is a wasteful number, since it uses less digits than its factorization.

38644128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38644128 is about 6216.4401388576. The cubic root of 38644128 is about 338.0865061076.

The spelling of 38644128 in words is "thirty-eight million, six hundred forty-four thousand, one hundred twenty-eight".