3828187785600 has 1536 divisors, whose sum is σ = 15681496320000. Its totient is φ = 918369239040.

The previous prime is 3828187785581. The next prime is 3828187785679. The reversal of 3828187785600 is 65877818283.

3828187785600 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 18 + 7 + 7 + 8 + 5 + 600 = 666.

3828187785600 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 191 ways as a sum of consecutive naturals, for example, 2736373701 + ... + 2736375099.

It is an arithmetic number, because the mean of its divisors is an integer number (10209307500).

Almost surely, 2^{3828187785600} is an apocalyptic number.

3828187785600 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 3828187785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840748160000).

3828187785600 is an abundant number, since it is smaller than the sum of its proper divisors (11853308534400).

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

3828187785600 is a wasteful number, since it uses less digits than its factorization.

3828187785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 3828187785600 in words is "three trillion, eight hundred twenty-eight billion, one hundred eighty-seven million, seven hundred eighty-five thousand, six hundred".