3912671443968 has 1540 divisors, whose sum is σ = 14288477669880. Its totient is φ = 1069256982528.

The previous prime is 3912671443963. The next prime is 3912671443969. The reversal of 3912671443968 is 8693441762193.

3912671443968 is a `hidden beast` number, since 3 + 9 + 126 + 7 + 1 + 443 + 9 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (47029248) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3912671443963) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 66316465123 + ... + 66316465181.

Almost surely, 2^{3912671443968} 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 3912671443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144238834940).

3912671443968 is an abundant number, since it is smaller than the sum of its proper divisors (10375806225912).

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

3912671443968 is an frugal number, since it uses more digits than its factorization.

3912671443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 108 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 3912671443968 in words is "three trillion, nine hundred twelve billion, six hundred seventy-one million, four hundred forty-three thousand, nine hundred sixty-eight".