3187872852864 has 128 divisors (see below), whose sum is σ = 9699320090880. Its totient is φ = 908764446720.

The previous prime is 3187872852841. The next prime is 3187872852877. The reversal of 3187872852864 is 4682582787813.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3187872852864³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 147777 + ... + 2529344.

It is an arithmetic number, because the mean of its divisors is an integer number (75775938210).

Almost surely, 2^{3187872852864} 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 3187872852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849660045440).

3187872852864 is an abundant number, since it is smaller than the sum of its proper divisors (6511447238016).

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

3187872852864 is a wasteful number, since it uses less digits than its factorization.

3187872852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677588 (or 2677576 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 69.

The spelling of 3187872852864 in words is "three trillion, one hundred eighty-seven billion, eight hundred seventy-two million, eight hundred fifty-two thousand, eight hundred sixty-four".