3982848307200 has 1872 divisors, whose sum is σ = 17191467384000. Its totient is φ = 862086758400.

The previous prime is 3982848307159. The next prime is 3982848307213. The reversal of 3982848307200 is 27038482893.

3982848307200 is a `hidden beast` number, since 3 + 98 + 2 + 8 + 48 + 307 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11412172626 + ... + 11412172974.

Almost surely, 2^{3982848307200} is an apocalyptic number.

3982848307200 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 3982848307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595733692000).

3982848307200 is an abundant number, since it is smaller than the sum of its proper divisors (13208619076800).

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

3982848307200 is a wasteful number, since it uses less digits than its factorization.

3982848307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3982848307200 in words is "three trillion, nine hundred eighty-two billion, eight hundred forty-eight million, three hundred seven thousand, two hundred".