3224682144 has 384 divisors, whose sum is σ = 10338451200. Its totient is φ = 975421440.

The previous prime is 3224682143. The next prime is 3224682157. The reversal of 3224682144 is 4412864223.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3224682099 and 3224682108.

It is not an unprimeable number, because it can be changed into a prime (3224682143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44173692 + ... + 44173764.

It is an arithmetic number, because the mean of its divisors is an integer number (26923050).

Almost surely, 2^3224682144 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 3224682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169225600).

3224682144 is an abundant number, since it is smaller than the sum of its proper divisors (7113769056).

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

3224682144 is a wasteful number, since it uses less digits than its factorization.

3224682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3224682144 is about 56786.2848230099. The cubic root of 3224682144 is about 1477.3916414130.

The spelling of 3224682144 in words is "three billion, two hundred twenty-four million, six hundred eighty-two thousand, one hundred forty-four".