3313506426216 has 512 divisors, whose sum is σ = 10642046976000. Its totient is φ = 837896361984.

The previous prime is 3313506426203. The next prime is 3313506426233. The reversal of 3313506426216 is 6126246053133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2791495975 + ... + 2791497161.

It is an arithmetic number, because the mean of its divisors is an integer number (20785248000).

Almost surely, 2^{3313506426216} 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 3313506426216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321023488000).

3313506426216 is an abundant number, since it is smaller than the sum of its proper divisors (7328540549784).

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

3313506426216 is a wasteful number, since it uses less digits than its factorization.

3313506426216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 3313506426216 in words is "three trillion, three hundred thirteen billion, five hundred six million, four hundred twenty-six thousand, two hundred sixteen".