3305224258560 has 528 divisors, whose sum is σ = 13573388040576. Its totient is φ = 755477839872.

The previous prime is 3305224258513. The next prime is 3305224258607. The reversal of 3305224258560 is 658524225033.

3305224258560 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 2 + 2 + 4 + 2 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3305224258513) and next prime (3305224258607).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8519364 + ... + 8898876.

Almost surely, 2^{3305224258560} is an apocalyptic number.

3305224258560 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 3305224258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786694020288).

3305224258560 is an abundant number, since it is smaller than the sum of its proper divisors (10268163782016).

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

3305224258560 is an equidigital number, since it uses as much as digits as its factorization.

3305224258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379560 (or 379530 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 3305224258560 in words is "three trillion, three hundred five billion, two hundred twenty-four million, two hundred fifty-eight thousand, five hundred sixty".