3741817116617 has 8 divisors (see below), whose sum is σ = 3853833858696. Its totient is φ = 3630373350912.

The previous prime is 3741817116607. The next prime is 3741817116623. The reversal of 3741817116617 is 7166117181473.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2199114009481 + 1542703107136 = 1482941^2 + 1242056^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3741817116617 - 2¹⁶ = 3741817051081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3741817116607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143230838 + ... + 143256959.

It is an arithmetic number, because the mean of its divisors is an integer number (481729232337).

Almost surely, 2^{3741817116617} is an apocalyptic number.

3741817116617 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3741817116617 is a deficient number, since it is larger than the sum of its proper divisors (112016742079).

3741817116617 is a wasteful number, since it uses less digits than its factorization.

3741817116617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286488187.

The product of its digits is 1185408, while the sum is 53.

The spelling of 3741817116617 in words is "three trillion, seven hundred forty-one billion, eight hundred seventeen million, one hundred sixteen thousand, six hundred seventeen".