3287987106696 has 160 divisors (see below), whose sum is σ = 10006828550400. Its totient is φ = 1004817674880.

The previous prime is 3287987106661. The next prime is 3287987106697. The reversal of 3287987106696 is 6966017897823.

3287987106696 is a `hidden beast` number, since 328 + 7 + 98 + 71 + 0 + 66 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3287987106697) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3925675 + ... + 4689018.

It is an arithmetic number, because the mean of its divisors is an integer number (62542678440).

Almost surely, 2^{3287987106696} is an apocalyptic number.

3287987106696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3287987106696 is an abundant number, since it is smaller than the sum of its proper divisors (6718841443704).

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

3287987106696 is a wasteful number, since it uses less digits than its factorization.

3287987106696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614761 (or 8614748 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 3287987106696 in words is "three trillion, two hundred eighty-seven billion, nine hundred eighty-seven million, one hundred six thousand, six hundred ninety-six".