3224006352 has 180 divisors, whose sum is σ = 10527976836. Its totient is φ = 918328320.

The previous prime is 3224006329. The next prime is 3224006413. The reversal of 3224006352 is 2536004223.

3224006352 is a `hidden beast` number, since 3 + 2 + 24 + 0 + 0 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1864166976 + 1359839376 = 43176^2 + 36876^2 .

It is a super-3 number, since 3×3224006352³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3675738 + ... + 3676614.

Almost surely, 2^3224006352 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 3224006352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263988418).

3224006352 is an abundant number, since it is smaller than the sum of its proper divisors (7303970484).

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

3224006352 is a wasteful number, since it uses less digits than its factorization.

3224006352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3224006352 is about 56780.3342012003. The cubic root of 3224006352 is about 1477.2884292553.

The spelling of 3224006352 in words is "three billion, two hundred twenty-four million, six thousand, three hundred fifty-two".