3321434345200 has 120 divisors (see below), whose sum is σ = 8281461782880. Its totient is φ = 1278634828800.

The previous prime is 3321434345197. The next prime is 3321434345209. The reversal of 3321434345200 is 25434341233.

It is a super-2 number, since 2×3321434345200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321434345209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3147262 + ... + 4067938.

It is an arithmetic number, because the mean of its divisors is an integer number (69012181524).

Almost surely, 2^{3321434345200} 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 3321434345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140730891440).

3321434345200 is an abundant number, since it is smaller than the sum of its proper divisors (4960027437680).

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

3321434345200 is a wasteful number, since it uses less digits than its factorization.

3321434345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921035 (or 921024 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 3321434345200 its reverse (25434341233), we get a palindrome (3346868686433).

The spelling of 3321434345200 in words is "three trillion, three hundred twenty-one billion, four hundred thirty-four million, three hundred forty-five thousand, two hundred".