3839283629281 has 9 divisors (see below), whose sum is σ = 3945927007449. Its totient is φ = 3735448668144.

The previous prime is 3839283629261. The next prime is 3839283629309. The reversal of 3839283629281 is 1829263829383.

The square root of 3839283629281 is 1959409.

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

It can be written as a sum of positive squares in 4 ways, for example, as 192405926881 + 3646877702400 = 438641^2 + 1909680^2 .

It is not a de Polignac number, because 3839283629281 - 2²³ = 3839275240673 is a prime.

It is a super-2 number, since 2×3839283629281² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3839283629231) 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, 72471655 + ... + 72524611.

It is an arithmetic number, because the mean of its divisors is an integer number (438436334161).

Almost surely, 2^{3839283629281} is an apocalyptic number.

3839283629281 is the 1959409-th square number.

3839283629281 is the 979705-th centered octagonal number.

It is an amenable number.

3839283629281 is a deficient number, since it is larger than the sum of its proper divisors (106643378168).

3839283629281 is an frugal number, since it uses more digits than its factorization.

3839283629281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105988 (or 52994 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 64.

Multiplying 3839283629281 by its sum of digits (64), we get a square (245714152273984 = 15675272²).

The spelling of 3839283629281 in words is "three trillion, eight hundred thirty-nine billion, two hundred eighty-three million, six hundred twenty-nine thousand, two hundred eighty-one".