3358116216000 has 4032 divisors, whose sum is σ = 16425932664960. Its totient is φ = 646565068800.

The previous prime is 3358116215933. The next prime is 3358116216011. The reversal of 3358116216000 is 6126118533.

3358116216000 is a `hidden beast` number, since 3 + 3 + 581 + 1 + 62 + 16 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×3358116216000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 46001591964 + ... + 46001592036.

It is an arithmetic number, because the mean of its divisors is an integer number (4073892030).

Almost surely, 2^{3358116216000} is an apocalyptic number.

3358116216000 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 3358116216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212966332480).

3358116216000 is an abundant number, since it is smaller than the sum of its proper divisors (13067816448960).

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

3358116216000 is a wasteful number, since it uses less digits than its factorization.

3358116216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3358116216000 in words is "three trillion, three hundred fifty-eight billion, one hundred sixteen million, two hundred sixteen thousand".