3228294804480 has 704 divisors, whose sum is σ = 12118973644800. Its totient is φ = 813687275520.

The previous prime is 3228294804463. The next prime is 3228294804481. The reversal of 3228294804480 is 844084928223.

3228294804480 is a `hidden beast` number, since 3 + 2 + 2 + 82 + 9 + 4 + 80 + 4 + 480 = 666.

3228294804480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3228294804480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228294804481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184265161 + ... + 184282679.

It is an arithmetic number, because the mean of its divisors is an integer number (17214451200).

Almost surely, 2^{3228294804480} is an apocalyptic number.

3228294804480 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 3228294804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059486822400).

3228294804480 is an abundant number, since it is smaller than the sum of its proper divisors (8890678840320).

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

3228294804480 is a wasteful number, since it uses less digits than its factorization.

3228294804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627 (or 17603 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 3228294804480 in words is "three trillion, two hundred twenty-eight billion, two hundred ninety-four million, eight hundred four thousand, four hundred eighty".