39930683579329 has 9 divisors (see below), whose sum is σ = 40287900061929. Its totient is φ = 39576606961920.

The previous prime is 39930683579327. The next prime is 39930683579341. The reversal of 39930683579329 is 92397538603993.

The square root of 39930683579329 is 6319073.

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 1529201025 + 39929154378304 = 39105^2 + 6318952^2 .

It is not a de Polignac number, because 39930683579329 - 2¹ = 39930683579327 is a prime.

It is a super-2 number, since 2×39930683579329² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39930683579323) 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, 714027289 + ... + 714083209.

Almost surely, 2^{39930683579329} is an apocalyptic number.

39930683579329 is the 6319073-rd square number.

39930683579329 is the 3159537-th centered octagonal number.

It is an amenable number.

39930683579329 is a deficient number, since it is larger than the sum of its proper divisors (357216482600).

39930683579329 is an frugal number, since it uses more digits than its factorization.

39930683579329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112068 (or 56034 counting only the distinct ones).

The product of its (nonzero) digits is 1785641760, while the sum is 76.

The spelling of 39930683579329 in words is "thirty-nine trillion, nine hundred thirty billion, six hundred eighty-three million, five hundred seventy-nine thousand, three hundred twenty-nine".