3471979968000 has 480 divisors, whose sum is σ = 12741484216032. Its totient is φ = 908384256000.

The previous prime is 3471979967983. The next prime is 3471979968007. The reversal of 3471979968000 is 8699791743.

3471979968000 is a `hidden beast` number, since 3 + 471 + 9 + 79 + 96 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3471979968007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30471135 + ... + 30584865.

Almost surely, 2^{3471979968000} is an apocalyptic number.

3471979968000 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 3471979968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370742108016).

3471979968000 is an abundant number, since it is smaller than the sum of its proper divisors (9269504248032).

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

3471979968000 is a wasteful number, since it uses less digits than its factorization.

3471979968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113823 (or 113794 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 3471979968000 in words is "three trillion, four hundred seventy-one billion, nine hundred seventy-nine million, nine hundred sixty-eight thousand".