3310413320000 has 210 divisors, whose sum is σ = 8663565285738. Its totient is φ = 1254466944000.

The previous prime is 3310413319991. The next prime is 3310413320023. The reversal of 3310413320000 is 233140133.

It can be written as a sum of positive squares in 5 ways, for example, as 879258785344 + 2431154534656 = 937688^2 + 1559216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14325374 + ... + 14554626.

Almost surely, 2^{3310413320000} 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 3310413320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331782642869).

3310413320000 is an abundant number, since it is smaller than the sum of its proper divisors (5353151965738).

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

3310413320000 is an equidigital number, since it uses as much as digits as its factorization.

3310413320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229323 (or 229279 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3310413320000 its reverse (233140133), we get a palindrome (3310646460133).

The spelling of 3310413320000 in words is "three trillion, three hundred ten billion, four hundred thirteen million, three hundred twenty thousand".