3227152424004 has 192 divisors, whose sum is σ = 8633292595200. Its totient is φ = 1041970196736.

The previous prime is 3227152423997. The next prime is 3227152424009. The reversal of 3227152424004 is 4004242517223.

3227152424004 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 1 + 5 + 242 + 400 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3227152424004.

It is not an unprimeable number, because it can be changed into a prime (3227152424009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 197504067 + ... + 197520405.

It is an arithmetic number, because the mean of its divisors is an integer number (44965065600).

Almost surely, 2^{3227152424004} 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 3227152424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316646297600).

3227152424004 is an abundant number, since it is smaller than the sum of its proper divisors (5406140171196).

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

3227152424004 is a wasteful number, since it uses less digits than its factorization.

3227152424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16799 (or 16791 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 3227152424004 in words is "three trillion, two hundred twenty-seven billion, one hundred fifty-two million, four hundred twenty-four thousand, four".