3477337740313 has 2 divisors, whose sum is σ = 3477337740314. Its totient is φ = 3477337740312.

The previous prime is 3477337740311. The next prime is 3477337740389. The reversal of 3477337740313 is 3130477337743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3476628743184 + 708997129 = 1864572^2 + 26627^2 .

It is a cyclic number.

It is not a de Polignac number, because 3477337740313 - 2¹ = 3477337740311 is a prime.

Together with 3477337740311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3477337740311) 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, 1738668870156 + 1738668870157.

It is an arithmetic number, because the mean of its divisors is an integer number (1738668870157).

Almost surely, 2^{3477337740313} is an apocalyptic number.

It is an amenable number.

3477337740313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3477337740313 is an equidigital number, since it uses as much as digits as its factorization.

3477337740313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9335088, while the sum is 52.

The spelling of 3477337740313 in words is "three trillion, four hundred seventy-seven billion, three hundred thirty-seven million, seven hundred forty thousand, three hundred thirteen".