3995293385329 has 9 divisors (see below), whose sum is σ = 4019696397067. Its totient is φ = 3971037668224.

The previous prime is 3995293385243. The next prime is 3995293385341. The reversal of 3995293385329 is 9235833925993.

The square root of 3995293385329 is 1998823.

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., 345359554929 + 3649933830400 = 587673^2 + 1910480^2 .

It is not a de Polignac number, because 3995293385329 - 2¹³ = 3995293377137 is a prime.

It is a super-2 number, since 2×3995293385329² (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 (3995293385929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 333797457 + ... + 333809425.

Almost surely, 2^{3995293385329} is an apocalyptic number.

3995293385329 is the 1998823-rd square number.

3995293385329 is the 999412-nd centered octagonal number.

It is an amenable number.

3995293385329 is a deficient number, since it is larger than the sum of its proper divisors (24403011738).

3995293385329 is an frugal number, since it uses more digits than its factorization.

3995293385329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272 (or 12136 counting only the distinct ones).

The product of its digits is 425152800, while the sum is 70.

The spelling of 3995293385329 in words is "three trillion, nine hundred ninety-five billion, two hundred ninety-three million, three hundred eighty-five thousand, three hundred twenty-nine".