38638944 has 72 divisors (see below), whose sum is σ = 113972040. Its totient is φ = 12877056.

The previous prime is 38638939. The next prime is 38638969. The reversal of 38638944 is 44983683.

38638944 is a `hidden beast` number, since 3 + 8 + 638 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38638944.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5292 + ... + 10260.

It is an arithmetic number, because the mean of its divisors is an integer number (1582945).

Almost surely, 2^38638944 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 38638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56986020).

38638944 is an abundant number, since it is smaller than the sum of its proper divisors (75333096).

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

38638944 is an equidigital number, since it uses as much as digits as its factorization.

38638944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4974 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 38638944 is about 6216.0231659800. The cubic root of 38638944 is about 338.0713876501.

The spelling of 38638944 in words is "thirty-eight million, six hundred thirty-eight thousand, nine hundred forty-four".