38138100821 has 16 divisors (see below), whose sum is σ = 39578737968. Its totient is φ = 36724531200.

The previous prime is 38138100799. The next prime is 38138100829. The reversal of 38138100821 is 12800183183.

It can be written as a sum of positive squares in 8 ways, for example, as 4120356100 + 34017744721 = 64190^2 + 184439^2 .

It is a cyclic number.

It is not a de Polignac number, because 38138100821 - 2¹⁴ = 38138084437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38138100829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099475 + ... + 1133631.

It is an arithmetic number, because the mean of its divisors is an integer number (2473671123).

Almost surely, 2^38138100821 is an apocalyptic number.

It is an amenable number.

38138100821 is a deficient number, since it is larger than the sum of its proper divisors (1440637147).

38138100821 is a wasteful number, since it uses less digits than its factorization.

38138100821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34552.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 38138100821 in words is "thirty-eight billion, one hundred thirty-eight million, one hundred thousand, eight hundred twenty-one".