3434003311721 has 2 divisors, whose sum is σ = 3434003311722. Its totient is φ = 3434003311720.

The previous prime is 3434003311649. The next prime is 3434003311727. The reversal of 3434003311721 is 1271133004343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3174526158400 + 259477153321 = 1781720^2 + 509389^2 .

It is a cyclic number.

It is not a de Polignac number, because 3434003311721 - 2³⁴ = 3416823442537 is a prime.

It is not a weakly prime, because it can be changed into another prime (3434003311727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1717001655860 + 1717001655861.

It is an arithmetic number, because the mean of its divisors is an integer number (1717001655861).

Almost surely, 2^{3434003311721} is an apocalyptic number.

It is an amenable number.

3434003311721 is a deficient number, since it is larger than the sum of its proper divisors (1).

3434003311721 is an equidigital number, since it uses as much as digits as its factorization.

3434003311721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 3434003311721 in words is "three trillion, four hundred thirty-four billion, three million, three hundred eleven thousand, seven hundred twenty-one".