3982005043200 has 1224 divisors, whose sum is σ = 15326719228080. Its totient is φ = 985242009600.

The previous prime is 3982005043171. The next prime is 3982005043217. The reversal of 3982005043200 is 23405002893.

3982005043200 is a `hidden beast` number, since 398 + 20 + 0 + 5 + 0 + 43 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17090150284 + ... + 17090150516.

Almost surely, 2^{3982005043200} is an apocalyptic number.

3982005043200 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 3982005043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663359614040).

3982005043200 is an abundant number, since it is smaller than the sum of its proper divisors (11344714184880).

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

3982005043200 is a wasteful number, since it uses less digits than its factorization.

3982005043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3982005043200 in words is "three trillion, nine hundred eighty-two billion, five million, forty-three thousand, two hundred".