3917464168716 has 192 divisors, whose sum is σ = 12371481077760. Its totient is φ = 1046458828800.

The previous prime is 3917464168703. The next prime is 3917464168721. The reversal of 3917464168716 is 6178614647193.

3917464168716 is a `hidden beast` number, since 3 + 9 + 1 + 7 + 464 + 168 + 7 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931336 + ... + 2949968.

It is an arithmetic number, because the mean of its divisors is an integer number (64434797280).

Almost surely, 2^{3917464168716} is an apocalyptic number.

3917464168716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917464168716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185740538880).

3917464168716 is an abundant number, since it is smaller than the sum of its proper divisors (8454016909044).

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

3917464168716 is a wasteful number, since it uses less digits than its factorization.

3917464168716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018821 (or 2018813 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 3917464168716 in words is "three trillion, nine hundred seventeen billion, four hundred sixty-four million, one hundred sixty-eight thousand, seven hundred sixteen".