3981679425312 has 96 divisors (see below), whose sum is σ = 10817933071680. Its totient is φ = 1280794690560.

The previous prime is 3981679425263. The next prime is 3981679425313. The reversal of 3981679425312 is 2135249761893.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3981679425313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005578 + ... + 5746230.

It is an arithmetic number, because the mean of its divisors is an integer number (112686802830).

Almost surely, 2^{3981679425312} is an apocalyptic number.

3981679425312 is a gapful number since it is divisible by the number (32) 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 3981679425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408966535840).

3981679425312 is an abundant number, since it is smaller than the sum of its proper divisors (6836253646368).

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

3981679425312 is a wasteful number, since it uses less digits than its factorization.

3981679425312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742626 (or 742618 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 3981679425312 in words is "three trillion, nine hundred eighty-one billion, six hundred seventy-nine million, four hundred twenty-five thousand, three hundred twelve".