3223364489280 has 1344 divisors, whose sum is σ = 13053215448000. Its totient is φ = 722793922560.

The previous prime is 3223364489221. The next prime is 3223364489309. The reversal of 3223364489280 is 829844633223.

3223364489280 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 36 + 448 + 92 + 80 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 3090057716736 + 133306772544 = 1757856^2 + 365112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3888255906 + ... + 3888256734.

It is an arithmetic number, because the mean of its divisors is an integer number (9712213875).

Almost surely, 2^{3223364489280} is an apocalyptic number.

3223364489280 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 3223364489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526607724000).

3223364489280 is an abundant number, since it is smaller than the sum of its proper divisors (9829850958720).

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

3223364489280 is a wasteful number, since it uses less digits than its factorization.

3223364489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3223364489280 in words is "three trillion, two hundred twenty-three billion, three hundred sixty-four million, four hundred eighty-nine thousand, two hundred eighty".