38272828377277 has 16 divisors (see below), whose sum is σ = 41307621047280. Its totient is φ = 35251079270400.

The previous prime is 38272828377247. The next prime is 38272828377299. The reversal of 38272828377277 is 77277382827283.

38272828377277 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 13672756033561 + 24600072343716 = 3697669^2 + 4959846^2 .

It is a cyclic number.

It is not a de Polignac number, because 38272828377277 - 2³¹ = 38270680893629 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 (38272828377247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9455877 + ... + 12882517.

It is an arithmetic number, because the mean of its divisors is an integer number (2581726315455).

Almost surely, 2^{38272828377277} is an apocalyptic number.

It is an amenable number.

38272828377277 is a deficient number, since it is larger than the sum of its proper divisors (3034792670003).

38272828377277 is a wasteful number, since it uses less digits than its factorization.

38272828377277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428544.

The product of its digits is 1239146496, while the sum is 73.

The spelling of 38272828377277 in words is "thirty-eight trillion, two hundred seventy-two billion, eight hundred twenty-eight million, three hundred seventy-seven thousand, two hundred seventy-seven".