3827473884000 has 960 divisors, whose sum is σ = 15786898807680. Its totient is φ = 901161676800.

The previous prime is 3827473883999. The next prime is 3827473884061. The reversal of 3827473884000 is 4883747283.

3827473884000 is a `hidden beast` number, since 38 + 27 + 473 + 88 + 40 + 0 + 0 = 666.

3827473884000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96856246 + ... + 96895754.

It is an arithmetic number, because the mean of its divisors is an integer number (16444686258).

Almost surely, 2^{3827473884000} is an apocalyptic number.

3827473884000 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 3827473884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893449403840).

3827473884000 is an abundant number, since it is smaller than the sum of its proper divisors (11959424923680).

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

3827473884000 is a wasteful number, since it uses less digits than its factorization.

3827473884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39582 (or 39555 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 3827473884000 in words is "three trillion, eight hundred twenty-seven billion, four hundred seventy-three million, eight hundred eighty-four thousand".