3224741345280 has 1536 divisors, whose sum is σ = 14326299187200. Its totient is φ = 669879631872.

The previous prime is 3224741345261. The next prime is 3224741345369. The reversal of 3224741345280 is 825431474223.

3224741345280 is a `hidden beast` number, since 3 + 2 + 24 + 7 + 4 + 1 + 345 + 280 = 666.

3224741345280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1685697604 + ... + 1685699516.

It is an arithmetic number, because the mean of its divisors is an integer number (9327017700).

Almost surely, 2^{3224741345280} is an apocalyptic number.

3224741345280 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 3224741345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163149593600).

3224741345280 is an abundant number, since it is smaller than the sum of its proper divisors (11101557841920).

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

3224741345280 is a wasteful number, since it uses less digits than its factorization.

3224741345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 3224741345280 in words is "three trillion, two hundred twenty-four billion, seven hundred forty-one million, three hundred forty-five thousand, two hundred eighty".