3343046560000 has 405 divisors, whose sum is σ = 9714908984781. Its totient is φ = 1144432128000.

The previous prime is 3343046559997. The next prime is 3343046560013. The reversal of 3343046560000 is 656403433.

The square root of 3343046560000 is 1828400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3184425974016 + 158620585984 = 1784496^2 + 398272^2 .

It is a super-2 number, since 2×3343046560000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5119519674 + ... + 5119520326.

Almost surely, 2^{3343046560000} is an apocalyptic number.

3343046560000 is the 1828400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343046560000

3343046560000 is an abundant number, since it is smaller than the sum of its proper divisors (6371862424781).

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

3343046560000 is an frugal number, since it uses more digits than its factorization.

3343046560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The spelling of 3343046560000 in words is "three trillion, three hundred forty-three billion, forty-six million, five hundred sixty thousand".