3341671333000 has 512 divisors, whose sum is σ = 10601182126080. Its totient is φ = 952076160000.

The previous prime is 3341671332983. The next prime is 3341671333003. The reversal of 3341671333000 is 3331761433.

It is a super-2 number, since 2×3341671333000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3341671333003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103086795 + ... + 103119205.

It is an arithmetic number, because the mean of its divisors is an integer number (20705433840).

Almost surely, 2^{3341671333000} 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 3341671333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300591063040).

3341671333000 is an abundant number, since it is smaller than the sum of its proper divisors (7259510793080).

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

3341671333000 is a wasteful number, since it uses less digits than its factorization.

3341671333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32566 (or 32552 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 34.

The spelling of 3341671333000 in words is "three trillion, three hundred forty-one billion, six hundred seventy-one million, three hundred thirty-three thousand".