3305613520000 has 480 divisors, whose sum is σ = 9266956983900. Its totient is φ = 1172582400000.

The previous prime is 3305613519997. The next prime is 3305613520003. The reversal of 3305613520000 is 253165033.

It is an interprime number because it is at equal distance from previous prime (3305613519997) and next prime (3305613520003).

It can be written as a sum of positive squares in 10 ways, for example, as 1632895511104 + 1672718008896 = 1277848^2 + 1293336^2 .

It is not an unprimeable number, because it can be changed into a prime (3305613520003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 396875836 + ... + 396884164.

Almost surely, 2^{3305613520000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305613520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633478491950).

3305613520000 is an abundant number, since it is smaller than the sum of its proper divisors (5961343463900).

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

3305613520000 is an equidigital number, since it uses as much as digits as its factorization.

3305613520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 3305613520000 its reverse (253165033), we get a palindrome (3305866685033).

The spelling of 3305613520000 in words is "three trillion, three hundred five billion, six hundred thirteen million, five hundred twenty thousand".