39072958420337 has 2 divisors, whose sum is σ = 39072958420338. Its totient is φ = 39072958420336.

The previous prime is 39072958420277. The next prime is 39072958420411. The reversal of 39072958420337 is 73302485927093.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39068512731361 + 4445688976 = 6250481^2 + 66676^2 .

It is an emirp because it is prime and its reverse (73302485927093) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 39072958420337 - 2²⁴ = 39072941643121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 39072958420337.

It is not a weakly prime, because it can be changed into another prime (39072958480337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19536479210168 + 19536479210169.

It is an arithmetic number, because the mean of its divisors is an integer number (19536479210169).

Almost surely, 2^{39072958420337} is an apocalyptic number.

It is an amenable number.

39072958420337 is a deficient number, since it is larger than the sum of its proper divisors (1).

39072958420337 is an equidigital number, since it uses as much as digits as its factorization.

39072958420337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68584320, while the sum is 62.

The spelling of 39072958420337 in words is "thirty-nine trillion, seventy-two billion, nine hundred fifty-eight million, four hundred twenty thousand, three hundred thirty-seven".