34362052337 has 2 divisors, whose sum is σ = 34362052338. Its totient is φ = 34362052336.

The previous prime is 34362052327. The next prime is 34362052343. The reversal of 34362052337 is 73325026343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33945851536 + 416200801 = 184244^2 + 20401^2 .

It is an emirp because it is prime and its reverse (73325026343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34362052337 - 2¹⁶ = 34361986801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34362052337.

It is not a weakly prime, because it can be changed into another prime (34362052327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17181026168 + 17181026169.

It is an arithmetic number, because the mean of its divisors is an integer number (17181026169).

Almost surely, 2^34362052337 is an apocalyptic number.

It is an amenable number.

34362052337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34362052337 is an equidigital number, since it uses as much as digits as its factorization.

34362052337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 38.

The spelling of 34362052337 in words is "thirty-four billion, three hundred sixty-two million, fifty-two thousand, three hundred thirty-seven".