3824284230144 has 1280 divisors, whose sum is σ = 14167093248000. Its totient is φ = 993974353920.

The previous prime is 3824284230127. The next prime is 3824284230191. The reversal of 3824284230144 is 4410324824283.

3824284230144 is a `hidden beast` number, since 3 + 8 + 24 + 284 + 2 + 301 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3824284230144.

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 127 ways as a sum of consecutive naturals, for example, 13052164462 + ... + 13052164754.

It is an arithmetic number, because the mean of its divisors is an integer number (11068041600).

Almost surely, 2^{3824284230144} 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 3824284230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083546624000).

3824284230144 is an abundant number, since it is smaller than the sum of its proper divisors (10342809017856).

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

3824284230144 is a wasteful number, since it uses less digits than its factorization.

3824284230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 3824284230144 in words is "three trillion, eight hundred twenty-four billion, two hundred eighty-four million, two hundred thirty thousand, one hundred forty-four".