3687042912872 has 160 divisors (see below), whose sum is σ = 7880166837000. Its totient is φ = 1615988183040.

The previous prime is 3687042912871. The next prime is 3687042912877. The reversal of 3687042912872 is 2782192407863.

It can be written as a sum of positive squares in 4 ways, for example, as 2587510313476 + 1099532599396 = 1608574^2 + 1048586^2 .

It is not an unprimeable number, because it can be changed into a prime (3687042912871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 489708404 + ... + 489715932.

Almost surely, 2^{3687042912872} 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 3687042912872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940083418500).

3687042912872 is an abundant number, since it is smaller than the sum of its proper divisors (4193123924128).

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

3687042912872 is a wasteful number, since it uses less digits than its factorization.

3687042912872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 3687042912872 in words is "three trillion, six hundred eighty-seven billion, forty-two million, nine hundred twelve thousand, eight hundred seventy-two".