3220445329920 has 2880 divisors, whose sum is σ = 14883559891200. Its totient is φ = 663676747776.

The previous prime is 3220445329903. The next prime is 3220445329921. The reversal of 3220445329920 is 299235440223.

3220445329920 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 4 + 4 + 532 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220445329921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74894077419 + ... + 74894077461.

It is an arithmetic number, because the mean of its divisors is an integer number (5167902740).

Almost surely, 2^{3220445329920} is an apocalyptic number.

3220445329920 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 3220445329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441779945600).

3220445329920 is an abundant number, since it is smaller than the sum of its proper divisors (11663114561280).

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

3220445329920 is an frugal number, since it uses more digits than its factorization.

3220445329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3220445329920 in words is "three trillion, two hundred twenty billion, four hundred forty-five million, three hundred twenty-nine thousand, nine hundred twenty".