38624041 has 16 divisors (see below), whose sum is σ = 40947280. Its totient is φ = 36391680.

The previous prime is 38624021. The next prime is 38624057. The reversal of 38624041 is 14042683.

38624041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 246016 + 38378025 = 496^2 + 6195^2 .

It is a 3-Lehmer number, since φ(38624041) divides (38624041-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 38624041 - 2⁷ = 38623913 is a prime.

It is a deceptive number, since it divides R_38624040.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38624011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245935 + ... + 246091.

It is an arithmetic number, because the mean of its divisors is an integer number (2559205).

It is a Poulet number, since it divides 2^38624040-1.

Almost surely, 2^38624041 is an apocalyptic number.

It is an amenable number.

38624041 is a deficient number, since it is larger than the sum of its proper divisors (2323239).

38624041 is a wasteful number, since it uses less digits than its factorization.

38624041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38624041 is about 6214.8242935742. The cubic root of 38624041 is about 338.0279174681.

The spelling of 38624041 in words is "thirty-eight million, six hundred twenty-four thousand, forty-one".