34400670007493 has 2 divisors, whose sum is σ = 34400670007494. Its totient is φ = 34400670007492.

The previous prime is 34400670007411. The next prime is 34400670007567. The reversal of 34400670007493 is 39470007600443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31922872901089 + 2477797106404 = 5650033^2 + 1574102^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400670007493 - 2³⁸ = 34125792100549 is a prime.

It is a super-2 number, since 2×34400670007493² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34400670003493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200335003746 + 17200335003747.

It is an arithmetic number, because the mean of its divisors is an integer number (17200335003747).

Almost surely, 2^{34400670007493} is an apocalyptic number.

It is an amenable number.

34400670007493 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400670007493 is an equidigital number, since it uses as much as digits as its factorization.

34400670007493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 47.

The spelling of 34400670007493 in words is "thirty-four trillion, four hundred billion, six hundred seventy million, seven thousand, four hundred ninety-three".