3220436520 has 384 divisors, whose sum is σ = 12312518400. Its totient is φ = 714903552.

The previous prime is 3220436507. The next prime is 3220436561. The reversal of 3220436520 is 256340223.

3220436520 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 4 + 3 + 652 + 0 = 666.

It is a super-2 number, since 2×3220436520² = 20742422758699420800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18615154 + ... + 18615326.

It is an arithmetic number, because the mean of its divisors is an integer number (32063850).

Almost surely, 2^3220436520 is an apocalyptic number.

3220436520 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 3220436520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156259200).

3220436520 is an abundant number, since it is smaller than the sum of its proper divisors (9092081880).

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

3220436520 is a wasteful number, since it uses less digits than its factorization.

3220436520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

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

The square root of 3220436520 is about 56748.8900331980. The cubic root of 3220436520 is about 1476.7429775634.

Adding to 3220436520 its reverse (256340223), we get a palindrome (3476776743).

The spelling of 3220436520 in words is "three billion, two hundred twenty million, four hundred thirty-six thousand, five hundred twenty".