38044240 has 80 divisors (see below), whose sum is σ = 96275088. Its totient is φ = 13897728.

The previous prime is 38044229. The next prime is 38044241. The reversal of 38044240 is 4244083.

It can be written as a sum of positive squares in 8 ways, for example, as 9784384 + 28259856 = 3128^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38044241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163164 + ... + 163396.

Almost surely, 2^38044240 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 38044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48137544).

38044240 is an abundant number, since it is smaller than the sum of its proper divisors (58230848).

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

38044240 is a wasteful number, since it uses less digits than its factorization.

38044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 38044240 is about 6168.0012970167. The cubic root of 38044240 is about 336.3279583204.

The spelling of 38044240 in words is "thirty-eight million, forty-four thousand, two hundred forty".