3082284172224 has 168 divisors, whose sum is σ = 8959039232000. Its totient is φ = 1013080545792.

The previous prime is 3082284172207. The next prime is 3082284172229. The reversal of 3082284172224 is 4222714822803.

It is a happy number.

3082284172224 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 2 + 8 + 417 + 2 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3082284172224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082284172229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11794527 + ... + 12053025.

Almost surely, 2^{3082284172224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082284172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479519616000).

3082284172224 is an abundant number, since it is smaller than the sum of its proper divisors (5876755059776).

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

3082284172224 is a wasteful number, since it uses less digits than its factorization.

3082284172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258807 (or 258794 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 3082284172224 in words is "three trillion, eighty-two billion, two hundred eighty-four million, one hundred seventy-two thousand, two hundred twenty-four".