3959468663472 has 480 divisors, whose sum is σ = 13638263523840. Its totient is φ = 1096099361280.

The previous prime is 3959468663467. The next prime is 3959468663503. The reversal of 3959468663472 is 2743668649593.

3959468663472 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 468 + 66 + 34 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3959468663472.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86490733 + ... + 86536499.

It is an arithmetic number, because the mean of its divisors is an integer number (28413049008).

Almost surely, 2^{3959468663472} 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 3959468663472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819131761920).

3959468663472 is an abundant number, since it is smaller than the sum of its proper divisors (9678794860368).

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

3959468663472 is a wasteful number, since it uses less digits than its factorization.

3959468663472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45926 (or 45907 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 3959468663472 in words is "three trillion, nine hundred fifty-nine billion, four hundred sixty-eight million, six hundred sixty-three thousand, four hundred seventy-two".