38200144 has 20 divisors (see below), whose sum is σ = 74235700. Its totient is φ = 19042560.

The previous prime is 38200103. The next prime is 38200147. The reversal of 38200144 is 44100283.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 9684544 = 5340^2 + 3112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38200147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2164 + ... + 9004.

It is an arithmetic number, because the mean of its divisors is an integer number (3711785).

Almost surely, 2^38200144 is an apocalyptic number.

It is an amenable number.

38200144 is a deficient number, since it is larger than the sum of its proper divisors (36035556).

38200144 is a wasteful number, since it uses less digits than its factorization.

38200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 38200144 is about 6180.6265054604. The cubic root of 38200144 is about 336.7867523559.

The spelling of 38200144 in words is "thirty-eight million, two hundred thousand, one hundred forty-four".