3224422656 has 405 divisors, whose sum is σ = 11715840591. Its totient is φ = 850397184.

The previous prime is 3224422577. The next prime is 3224422667. The reversal of 3224422656 is 6562244223.

The square root of 3224422656 is 56784.

It is a perfect power (a square), and thus also a powerful number.

3224422656 is a `hidden beast` number, since 3 + 224 + 422 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1598720256 + 1625702400 = 39984^2 + 40320^2 .

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 3224422656.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 248032506 + ... + 248032518.

Almost surely, 2^3224422656 is an apocalyptic number.

3224422656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3224422656 is the 56784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224422656

3224422656 is an abundant number, since it is smaller than the sum of its proper divisors (8491417935).

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

3224422656 is an frugal number, since it uses more digits than its factorization.

3224422656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The cubic root of 3224422656 is about 1477.3520121132.

Multiplying 3224422656 by its sum of digits (36), we get a square (116079215616 = 340704²).

3224422656 divided by its sum of digits (36) gives a square (89567296 = 9464²).

Adding to 3224422656 its reverse (6562244223), we get a palindrome (9786666879).

The spelling of 3224422656 in words is "three billion, two hundred twenty-four million, four hundred twenty-two thousand, six hundred fifty-six".