3226072320 has 576 divisors, whose sum is σ = 12803616000. Its totient is φ = 767066112.

The previous prime is 3226072309. The next prime is 3226072327. The reversal of 3226072320 is 232706223.

3226072320 is a `hidden beast` number, since 3 + 22 + 607 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3226072320² = 20815085227740364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226072327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169793271 + ... + 169793289.

It is an arithmetic number, because the mean of its divisors is an integer number (22228500).

Almost surely, 2^3226072320 is an apocalyptic number.

3226072320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401808000).

3226072320 is an abundant number, since it is smaller than the sum of its proper divisors (9577543680).

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

3226072320 is an equidigital number, since it uses as much as digits as its factorization.

3226072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3226072320 is about 56798.5239244824. The cubic root of 3226072320 is about 1477.6039144621.

Adding to 3226072320 its reverse (232706223), we get a palindrome (3458778543).

The spelling of 3226072320 in words is "three billion, two hundred twenty-six million, seventy-two thousand, three hundred twenty".