3168031680000 has 900 divisors, whose sum is σ = 12559752689484. Its totient is φ = 767923200000.

The previous prime is 3168031679971. The next prime is 3168031680103. The reversal of 3168031680000 is 861308613.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 348475455 + ... + 348484545.

Almost surely, 2^{3168031680000} is an apocalyptic number.

3168031680000 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 3168031680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279876344742).

3168031680000 is an abundant number, since it is smaller than the sum of its proper divisors (9391721009484).

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

3168031680000 is an equidigital number, since it uses as much as digits as its factorization.

3168031680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 3168031680000 its reverse (861308613), we get a palindrome (3168892988613).

The spelling of 3168031680000 in words is "three trillion, one hundred sixty-eight billion, thirty-one million, six hundred eighty thousand".