3981364312068 has 432 divisors, whose sum is σ = 12486358422720. Its totient is φ = 1094731718400.

The previous prime is 3981364312031. The next prime is 3981364312183. The reversal of 3981364312068 is 8602134631893.

3981364312068 is a `hidden beast` number, since 398 + 1 + 3 + 6 + 43 + 1 + 206 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221411638 + ... + 221429618.

It is an arithmetic number, because the mean of its divisors is an integer number (28903607460).

Almost surely, 2^{3981364312068} 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 3981364312068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243179211360).

3981364312068 is an abundant number, since it is smaller than the sum of its proper divisors (8504994110652).

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

3981364312068 is a wasteful number, since it uses less digits than its factorization.

3981364312068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18092 (or 18069 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3981364312068 in words is "three trillion, nine hundred eighty-one billion, three hundred sixty-four million, three hundred twelve thousand, sixty-eight".