3400734433441 has 2 divisors, whose sum is σ = 3400734433442. Its totient is φ = 3400734433440.

The previous prime is 3400734433403. The next prime is 3400734433469. The reversal of 3400734433441 is 1443344370043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2191966119841 + 1208768313600 = 1480529^2 + 1099440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3400734433441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3400734433394 and 3400734433403.

It is not a weakly prime, because it can be changed into another prime (3400734433141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700367216720 + 1700367216721.

It is an arithmetic number, because the mean of its divisors is an integer number (1700367216721).

Almost surely, 2^{3400734433441} is an apocalyptic number.

It is an amenable number.

3400734433441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400734433441 is an equidigital number, since it uses as much as digits as its factorization.

3400734433441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 40.

The spelling of 3400734433441 in words is "three trillion, four hundred billion, seven hundred thirty-four million, four hundred thirty-three thousand, four hundred forty-one".