3834731313009 has 45 divisors (see below), whose sum is σ = 6085689035547. Its totient is φ = 2405917930176.

The previous prime is 3834731313001. The next prime is 3834731313013. The reversal of 3834731313009 is 9003131374383.

The square root of 3834731313009 is 1958247.

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

3834731313009 is a `hidden beast` number, since 38 + 3 + 473 + 13 + 130 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2985517458225 + 849213854784 = 1727865^2 + 921528^2 .

It is not a de Polignac number, because 3834731313009 - 2³ = 3834731313001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3834731313001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 299605392 + ... + 299618190.

Almost surely, 2^{3834731313009} is an apocalyptic number.

3834731313009 is the 1958247-th square number.

3834731313009 is the 979124-th centered octagonal number.

It is an amenable number.

3834731313009 is a deficient number, since it is larger than the sum of its proper divisors (2250957722538).

3834731313009 is an frugal number, since it uses more digits than its factorization.

3834731313009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25644 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3834731313009 in words is "three trillion, eight hundred thirty-four billion, seven hundred thirty-one million, three hundred thirteen thousand, nine".