3982602240000 has 1920 divisors, whose sum is σ = 16096796876160. Its totient is φ = 943718400000.

The previous prime is 3982602239999. The next prime is 3982602240053. The reversal of 3982602240000 is 422062893.

3982602240000 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 602 + 2 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3982602240000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97136639980 + ... + 97136640020.

It is an arithmetic number, because the mean of its divisors is an integer number (8383748373).

Almost surely, 2^{3982602240000} is an apocalyptic number.

3982602240000 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 3982602240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048398438080).

3982602240000 is an abundant number, since it is smaller than the sum of its proper divisors (12114194636160).

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

3982602240000 is an equidigital number, since it uses as much as digits as its factorization.

3982602240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3982602240000 in words is "three trillion, nine hundred eighty-two billion, six hundred two million, two hundred forty thousand".