3287986480168 has 64 divisors (see below), whose sum is σ = 6829991698320. Its totient is φ = 1474060032000.

The previous prime is 3287986480139. The next prime is 3287986480223. The reversal of 3287986480168 is 8610846897823.

It can be written as a sum of positive squares in 8 ways, for example, as 2817771818884 + 470214661284 = 1678622^2 + 685722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3287986480097 and 3287986480106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601778 + ... + 3023518.

Almost surely, 2^{3287986480168} 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 3287986480168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414995849160).

3287986480168 is an abundant number, since it is smaller than the sum of its proper divisors (3542005218152).

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

3287986480168 is a wasteful number, since it uses less digits than its factorization.

3287986480168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422398 (or 1422394 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 70.

The spelling of 3287986480168 in words is "three trillion, two hundred eighty-seven billion, nine hundred eighty-six million, four hundred eighty thousand, one hundred sixty-eight".