34074004006741 has 2 divisors, whose sum is σ = 34074004006742. Its totient is φ = 34074004006740.

The previous prime is 34074004006717. The next prime is 34074004006751. The reversal of 34074004006741 is 14760040047043.

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., 19873353866116 + 14200650140625 = 4457954^2 + 3768375^2 .

It is a cyclic number.

It is not a de Polignac number, because 34074004006741 - 2⁵ = 34074004006709 is a prime.

It is a super-2 number, since 2×34074004006741² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34074004006694 and 34074004006703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34074004006711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17037002003370 + 17037002003371.

It is an arithmetic number, because the mean of its divisors is an integer number (17037002003371).

Almost surely, 2^{34074004006741} is an apocalyptic number.

It is an amenable number.

34074004006741 is a deficient number, since it is larger than the sum of its proper divisors (1).

34074004006741 is an equidigital number, since it uses as much as digits as its factorization.

34074004006741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 34074004006741 in words is "thirty-four trillion, seventy-four billion, four million, six thousand, seven hundred forty-one".