38635212412729 has 9 divisors (see below), whose sum is σ = 39600779349999. Its totient is φ = 37692641529840.

The previous prime is 38635212412721. The next prime is 38635212412757. The reversal of 38635212412729 is 92721421253683.

The square root of 38635212412729 is 6215723.

It is a perfect power (a square), and thus also a powerful number.

38635212412729 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 only one way, i.e., 1861661038329 + 36773551374400 = 1364427^2 + 6064120^2 .

It is not a de Polignac number, because 38635212412729 - 2³ = 38635212412721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38635212412729.

It is not an unprimeable number, because it can be changed into a prime (38635212412721) 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 8 ways as a sum of consecutive naturals, for example, 254768842 + ... + 254920444.

Almost surely, 2^{38635212412729} is an apocalyptic number.

38635212412729 is the 6215723-rd square number.

38635212412729 is the 3107862-nd centered octagonal number.

It is an amenable number.

38635212412729 is a deficient number, since it is larger than the sum of its proper divisors (965566937270).

38635212412729 is an frugal number, since it uses more digits than its factorization.

38635212412729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303288 (or 151644 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 38635212412729 in words is "thirty-eight trillion, six hundred thirty-five billion, two hundred twelve million, four hundred twelve thousand, seven hundred twenty-nine".