3886683305472 has 840 divisors, whose sum is σ = 13116441353400. Its totient is φ = 1148508979200.

The previous prime is 3886683305459. The next prime is 3886683305501. The reversal of 3886683305472 is 2745033866883.

3886683305472 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 6 + 83 + 3 + 0 + 547 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1851682279 + ... + 1851684377.

It is an arithmetic number, because the mean of its divisors is an integer number (15614811135).

Almost surely, 2^{3886683305472} is an apocalyptic number.

3886683305472 is a gapful number since it is divisible by the number (32) 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 3886683305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558220676700).

3886683305472 is an abundant number, since it is smaller than the sum of its proper divisors (9229758047928).

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

3886683305472 is an equidigital number, since it uses as much as digits as its factorization.

3886683305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

It can be divided in two parts, 38866 and 83305472, that added together give a palindrome (83344338).

The spelling of 3886683305472 in words is "three trillion, eight hundred eighty-six billion, six hundred eighty-three million, three hundred five thousand, four hundred seventy-two".