34038793593401 has 2 divisors, whose sum is σ = 34038793593402. Its totient is φ = 34038793593400.

The previous prime is 34038793593307. The next prime is 34038793593419. The reversal of 34038793593401 is 10439539783043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24028378515625 + 10010415077776 = 4901875^2 + 3163924^2 .

It is a cyclic number.

It is not a de Polignac number, because 34038793593401 - 2¹⁴ = 34038793577017 is a prime.

It is a super-2 number, since 2×34038793593401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34038793593421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17019396796700 + 17019396796701.

It is an arithmetic number, because the mean of its divisors is an integer number (17019396796701).

Almost surely, 2^{34038793593401} is an apocalyptic number.

It is an amenable number.

34038793593401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34038793593401 is an equidigital number, since it uses as much as digits as its factorization.

34038793593401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29393280, while the sum is 59.

The spelling of 34038793593401 in words is "thirty-four trillion, thirty-eight billion, seven hundred ninety-three million, five hundred ninety-three thousand, four hundred one".