37824742817 has 2 divisors, whose sum is σ = 37824742818. Its totient is φ = 37824742816.

The previous prime is 37824742771. The next prime is 37824742849. The reversal of 37824742817 is 71824742873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37686068641 + 138674176 = 194129^2 + 11776^2 .

It is a cyclic number.

It is not a de Polignac number, because 37824742817 - 2⁸ = 37824742561 is a prime.

It is a super-2 number, since 2×37824742817² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37824745817) 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 as a sum of consecutive naturals, namely, 18912371408 + 18912371409.

It is an arithmetic number, because the mean of its divisors is an integer number (18912371409).

Almost surely, 2^37824742817 is an apocalyptic number.

It is an amenable number.

37824742817 is a deficient number, since it is larger than the sum of its proper divisors (1).

37824742817 is an equidigital number, since it uses as much as digits as its factorization.

37824742817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4214784, while the sum is 53.

The spelling of 37824742817 in words is "thirty-seven billion, eight hundred twenty-four million, seven hundred forty-two thousand, eight hundred seventeen".