3187785280968 has 96 divisors (see below), whose sum is σ = 8818295765760. Its totient is φ = 1039866696960.

The previous prime is 3187785280937. The next prime is 3187785280973. The reversal of 3187785280968 is 8690825877813.

3187785280968 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 7 + 8 + 528 + 0 + 96 + 8 = 666.

It is a Cunningham number, because it is equal to 1785437²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 3187785280896 and 3187785280905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32088253 + ... + 32187443.

It is an arithmetic number, because the mean of its divisors is an integer number (91857247560).

Almost surely, 2^{3187785280968} is an apocalyptic number.

It is an amenable number.

3187785280968 is an abundant number, since it is smaller than the sum of its proper divisors (5630510484792).

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

3187785280968 is a wasteful number, since it uses less digits than its factorization.

3187785280968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108747 (or 108740 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 3187785280968 in words is "three trillion, one hundred eighty-seven billion, seven hundred eighty-five million, two hundred eighty thousand, nine hundred sixty-eight".