3979995840000 has 600 divisors, whose sum is σ = 14379512364360. Its totient is φ = 1059416064000.

The previous prime is 3979995839999. The next prime is 3979995840031. The reversal of 3979995840000 is 485999793.

It is a happy number.

3979995840000 is a `hidden beast` number, since 3 + 97 + 9 + 99 + 58 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a self number, because there is not a number n which added to its sum of digits gives 3979995840000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2387519167 + ... + 2387520833.

Almost surely, 2^{3979995840000} is an apocalyptic number.

3979995840000 is a gapful number since it is divisible by the number (30) 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 3979995840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189756182180).

3979995840000 is an abundant number, since it is smaller than the sum of its proper divisors (10399516524360).

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

3979995840000 is an equidigital number, since it uses as much as digits as its factorization.

3979995840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 3979995840000 in words is "three trillion, nine hundred seventy-nine billion, nine hundred ninety-five million, eight hundred forty thousand".