3839683359121 has 9 divisors (see below), whose sum is σ = 3868185266491. Its totient is φ = 3811389979792.

The previous prime is 3839683359103. The next prime is 3839683359173. The reversal of 3839683359121 is 1219533869383.

The square root of 3839683359121 is 1959511.

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

It can be written as a sum of positive squares in only one way, i.e., 2255448294225 + 1584235064896 = 1501815^2 + 1258664^2 .

It is not a de Polignac number, because 3839683359121 - 2¹¹ = 3839683357073 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 3839683359121.

It is not an unprimeable number, because it can be changed into a prime (3839683350121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 268445856 + ... + 268460158.

Almost surely, 2^{3839683359121} is an apocalyptic number.

3839683359121 is the 1959511-st square number.

3839683359121 is the 979756-th centered octagonal number.

It is an amenable number.

3839683359121 is a deficient number, since it is larger than the sum of its proper divisors (28501907370).

3839683359121 is an frugal number, since it uses more digits than its factorization.

3839683359121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28880 (or 14440 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 61.

The spelling of 3839683359121 in words is "three trillion, eight hundred thirty-nine billion, six hundred eighty-three million, three hundred fifty-nine thousand, one hundred twenty-one".