3817666120960 has 288 divisors, whose sum is σ = 10214636544000. Its totient is φ = 1360328859648.

The previous prime is 3817666120951. The next prime is 3817666120969. The reversal of 3817666120960 is 690216667183.

It is an interprime number because it is at equal distance from previous prime (3817666120951) and next prime (3817666120969).

It is a super-2 number, since 2×3817666120960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3817666120969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32944401 + ... + 33060079.

It is an arithmetic number, because the mean of its divisors is an integer number (35467488000).

Almost surely, 2^{3817666120960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3817666120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107318272000).

3817666120960 is an abundant number, since it is smaller than the sum of its proper divisors (6396970423040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3817666120960 is a wasteful number, since it uses less digits than its factorization.

3817666120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115801 (or 115787 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 3817666120960 in words is "three trillion, eight hundred seventeen billion, six hundred sixty-six million, one hundred twenty thousand, nine hundred sixty".