3404610642337 has 2 divisors, whose sum is σ = 3404610642338. Its totient is φ = 3404610642336.

The previous prime is 3404610642317. The next prime is 3404610642353. The reversal of 3404610642337 is 7332460164043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2431475743761 + 973134898576 = 1559319^2 + 986476^2 .

It is a cyclic number.

It is not a de Polignac number, because 3404610642337 - 2¹¹ = 3404610640289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3404610642293 and 3404610642302.

It is not a weakly prime, because it can be changed into another prime (3404610642317) 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, 1702305321168 + 1702305321169.

It is an arithmetic number, because the mean of its divisors is an integer number (1702305321169).

Almost surely, 2^{3404610642337} is an apocalyptic number.

It is an amenable number.

3404610642337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3404610642337 is an equidigital number, since it uses as much as digits as its factorization.

3404610642337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 3404610642337 in words is "three trillion, four hundred four billion, six hundred ten million, six hundred forty-two thousand, three hundred thirty-seven".