38400802177 has 2 divisors, whose sum is σ = 38400802178. Its totient is φ = 38400802176.

The previous prime is 38400802163. The next prime is 38400802213. The reversal of 38400802177 is 77120800483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32477806656 + 5922995521 = 180216^2 + 76961^2 .

It is a cyclic number.

It is not a de Polignac number, because 38400802177 - 2⁷ = 38400802049 is a prime.

It is not a weakly prime, because it can be changed into another prime (38400802117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200401088 + 19200401089.

It is an arithmetic number, because the mean of its divisors is an integer number (19200401089).

Almost surely, 2^38400802177 is an apocalyptic number.

It is an amenable number.

38400802177 is a deficient number, since it is larger than the sum of its proper divisors (1).

38400802177 is an equidigital number, since it uses as much as digits as its factorization.

38400802177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 38400802177 in words is "thirty-eight billion, four hundred million, eight hundred two thousand, one hundred seventy-seven".