3226210560 has 540 divisors, whose sum is σ = 12278894628. Its totient is φ = 808206336.

The previous prime is 3226210553. The next prime is 3226210577. The reversal of 3226210560 is 650126223.

3226210560 is a `hidden beast` number, since 32 + 2 + 62 + 10 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 104530176 + 3121680384 = 10224^2 + 55872^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87194862 + ... + 87194898.

Almost surely, 2^3226210560 is an apocalyptic number.

3226210560 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 3226210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139447314).

3226210560 is an abundant number, since it is smaller than the sum of its proper divisors (9052684068).

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

3226210560 is an equidigital number, since it uses as much as digits as its factorization.

3226210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3226210560 is about 56799.7408444792. The cubic root of 3226210560 is about 1477.6250196976.

Adding to 3226210560 its reverse (650126223), we get a palindrome (3876336783).

The spelling of 3226210560 in words is "three billion, two hundred twenty-six million, two hundred ten thousand, five hundred sixty".