3687883286880 has 192 divisors, whose sum is σ = 12543982799040. Its totient is φ = 905352339456.

The previous prime is 3687883286839. The next prime is 3687883286947. The reversal of 3687883286880 is 886823887863.

3687883286880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535286 + ... + 3119754.

It is an arithmetic number, because the mean of its divisors is an integer number (65333243745).

Almost surely, 2^{3687883286880} is an apocalyptic number.

3687883286880 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 3687883286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271991399520).

3687883286880 is an abundant number, since it is smaller than the sum of its proper divisors (8856099512160).

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

3687883286880 is a wasteful number, since it uses less digits than its factorization.

3687883286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584873 (or 1584865 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 75.

The spelling of 3687883286880 in words is "three trillion, six hundred eighty-seven billion, eight hundred eighty-three million, two hundred eighty-six thousand, eight hundred eighty".