3223460560320 has 2688 divisors, whose sum is σ = 15894685040640. Its totient is φ = 597793996800.

The previous prime is 3223460560319. The next prime is 3223460560423. The reversal of 3223460560320 is 230650643223.

3223460560320 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 4 + 60 + 560 + 32 + 0 = 666.

3223460560320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2949185694 + ... + 2949186786.

It is an arithmetic number, because the mean of its divisors is an integer number (5913201280).

Almost surely, 2^{3223460560320} is an apocalyptic number.

3223460560320 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 3223460560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947342520320).

3223460560320 is an abundant number, since it is smaller than the sum of its proper divisors (12671224480320).

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

3223460560320 is a wasteful number, since it uses less digits than its factorization.

3223460560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 3223460560320 in words is "three trillion, two hundred twenty-three billion, four hundred sixty million, five hundred sixty thousand, three hundred twenty".