3982834582272 has 720 divisors, whose sum is σ = 15088457674752. Its totient is φ = 1016518533120.

The previous prime is 3982834582267. The next prime is 3982834582319. The reversal of 3982834582272 is 2722854382893.

It is a happy number.

3982834582272 is a `hidden beast` number, since 3 + 9 + 8 + 28 + 3 + 4 + 582 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58462213 + ... + 58530299.

Almost surely, 2^{3982834582272} is an apocalyptic number.

3982834582272 is a gapful number since it is divisible by the number (32) 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 3982834582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544228837376).

3982834582272 is an abundant number, since it is smaller than the sum of its proper divisors (11105623092480).

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

3982834582272 is a wasteful number, since it uses less digits than its factorization.

3982834582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68166 (or 68143 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 3982834582272 in words is "three trillion, nine hundred eighty-two billion, eight hundred thirty-four million, five hundred eighty-two thousand, two hundred seventy-two".