3873914916409 has 2 divisors, whose sum is σ = 3873914916410. Its totient is φ = 3873914916408.

The previous prime is 3873914916407. The next prime is 3873914916437. The reversal of 3873914916409 is 9046194193783.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2992329127225 + 881585789184 = 1729835^2 + 938928^2 .

It is a cyclic number.

It is not a de Polignac number, because 3873914916409 - 2¹ = 3873914916407 is a prime.

It is a super-2 number, since 2×3873914916409² (a number of 26 digits) contains 22 as substring.

Together with 3873914916407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3873914916407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936957458204 + 1936957458205.

It is an arithmetic number, because the mean of its divisors is an integer number (1936957458205).

Almost surely, 2^{3873914916409} is an apocalyptic number.

It is an amenable number.

3873914916409 is a deficient number, since it is larger than the sum of its proper divisors (1).

3873914916409 is an equidigital number, since it uses as much as digits as its factorization.

3873914916409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 3873914916409 in words is "three trillion, eight hundred seventy-three billion, nine hundred fourteen million, nine hundred sixteen thousand, four hundred nine".