3220368480 has 288 divisors, whose sum is σ = 13298935104. Its totient is φ = 692748288.

The previous prime is 3220368449. The next prime is 3220368499. The reversal of 3220368480 is 848630223.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161964 + ... + 180756.

It is an arithmetic number, because the mean of its divisors is an integer number (46176858).

Almost surely, 2^3220368480 is an apocalyptic number.

3220368480 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 3220368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649467552).

3220368480 is an abundant number, since it is smaller than the sum of its proper divisors (10078566624).

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

3220368480 is a wasteful number, since it uses less digits than its factorization.

3220368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3220368480 is about 56748.2905469407. The cubic root of 3220368480 is about 1476.7325774930.

The spelling of 3220368480 in words is "three billion, two hundred twenty million, three hundred sixty-eight thousand, four hundred eighty".