3344312300000 has 288 divisors, whose sum is σ = 9420503674176. Its totient is φ = 1144765440000.

The previous prime is 3344312299987. The next prime is 3344312300029. The reversal of 3344312300000 is 32134433.

It is a super-2 number, since 2×3344312300000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 473896472 + ... + 473903528.

It is an arithmetic number, because the mean of its divisors is an integer number (32710082202).

Almost surely, 2^{3344312300000} 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 3344312300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710251837088).

3344312300000 is an abundant number, since it is smaller than the sum of its proper divisors (6076191374176).

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

3344312300000 is an frugal number, since it uses more digits than its factorization.

3344312300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 3344312300000 its reverse (32134433), we get a palindrome (3344344434433).

The spelling of 3344312300000 in words is "three trillion, three hundred forty-four billion, three hundred twelve million, three hundred thousand".