3408983340593 has 2 divisors, whose sum is σ = 3408983340594. Its totient is φ = 3408983340592.

The previous prime is 3408983340551. The next prime is 3408983340619. The reversal of 3408983340593 is 3950433898043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3407893218304 + 1090122289 = 1846048^2 + 33017^2 .

It is an emirp because it is prime and its reverse (3950433898043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3408983340593 - 2²² = 3408979146289 is a prime.

It is not a weakly prime, because it can be changed into another prime (3408983340293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1704491670296 + 1704491670297.

It is an arithmetic number, because the mean of its divisors is an integer number (1704491670297).

Almost surely, 2^{3408983340593} is an apocalyptic number.

It is an amenable number.

3408983340593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3408983340593 is an equidigital number, since it uses as much as digits as its factorization.

3408983340593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33592320, while the sum is 59.

The spelling of 3408983340593 in words is "three trillion, four hundred eight billion, nine hundred eighty-three million, three hundred forty thousand, five hundred ninety-three".