3339818385289 has 27 divisors (see below), whose sum is σ = 3572726775807. Its totient is φ = 3121457516544.

The previous prime is 3339818385223. The next prime is 3339818385311. The reversal of 3339818385289 is 9825838189333.

The square root of 3339818385289 is 1827517.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2998421244025 + 341397141264 = 1731595^2 + 584292^2 .

It is not a de Polignac number, because 3339818385289 - 2¹³ = 3339818377097 is a prime.

It is a super-2 number, since 2×3339818385289² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3339818385389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5996082999 + ... + 5996083555.

Almost surely, 2^{3339818385289} is an apocalyptic number.

3339818385289 is the 1827517-th square number.

3339818385289 is the 913759-th centered octagonal number.

It is an amenable number.

3339818385289 is a deficient number, since it is larger than the sum of its proper divisors (232908390518).

3339818385289 is an frugal number, since it uses more digits than its factorization.

3339818385289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 70.

The spelling of 3339818385289 in words is "three trillion, three hundred thirty-nine billion, eight hundred eighteen million, three hundred eighty-five thousand, two hundred eighty-nine".