3220347456 has 280 divisors, whose sum is σ = 10208605440. Its totient is φ = 1001548800.

The previous prime is 3220347379. The next prime is 3220347491. The reversal of 3220347456 is 6547430223.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 3220347456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4660071 + ... + 4660761.

Almost surely, 2^3220347456 is an apocalyptic number.

3220347456 is a gapful number since it is divisible by the number (36) 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 3220347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104302720).

3220347456 is an abundant number, since it is smaller than the sum of its proper divisors (6988257984).

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

3220347456 is a wasteful number, since it uses less digits than its factorization.

3220347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3220347456 is about 56748.1053075783. The cubic root of 3220347456 is about 1476.7293638966.

Adding to 3220347456 its reverse (6547430223), we get a palindrome (9767777679).

The spelling of 3220347456 in words is "three billion, two hundred twenty million, three hundred forty-seven thousand, four hundred fifty-six".