3891842131968 has 1440 divisors, whose sum is σ = 14120703717120. Its totient is φ = 1064045445120.

The previous prime is 3891842131939. The next prime is 3891842131981. The reversal of 3891842131968 is 8691312481983.

3891842131968 is a `hidden beast` number, since 3 + 8 + 9 + 18 + 421 + 3 + 196 + 8 = 666.

It is a super-2 number, since 2×3891842131968² (a number of 26 digits) contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23304443821 + ... + 23304443987.

It is an arithmetic number, because the mean of its divisors is an integer number (9806044248).

Almost surely, 2^{3891842131968} 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 3891842131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060351858560).

3891842131968 is an abundant number, since it is smaller than the sum of its proper divisors (10228861585152).

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

3891842131968 is a wasteful number, since it uses less digits than its factorization.

3891842131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 3891842131968 in words is "three trillion, eight hundred ninety-one billion, eight hundred forty-two million, one hundred thirty-one thousand, nine hundred sixty-eight".