3343104012000 has 384 divisors, whose sum is σ = 11186559820800. Its totient is φ = 872583936000.

The previous prime is 3343104011957. The next prime is 3343104012047. The reversal of 3343104012000 is 2104013433.

It is a super-2 number, since 2×3343104012000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118413886 + ... + 118442114.

It is an arithmetic number, because the mean of its divisors is an integer number (29131666200).

Almost surely, 2^{3343104012000} is an apocalyptic number.

3343104012000 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 3343104012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593279910400).

3343104012000 is an abundant number, since it is smaller than the sum of its proper divisors (7843455808800).

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

3343104012000 is a wasteful number, since it uses less digits than its factorization.

3343104012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28467 (or 28449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3343104012000 its reverse (2104013433), we get a palindrome (3345208025433).

The spelling of 3343104012000 in words is "three trillion, three hundred forty-three billion, one hundred four million, twelve thousand".