3320034031200 has 144 divisors (see below), whose sum is σ = 10831787721216. Its totient is φ = 883287974400.

The previous prime is 3320034031187. The next prime is 3320034031201. The reversal of 3320034031200 is 21304300233.

It is a super-2 number, since 2×3320034031200² (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 (3320034031201) 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 23 ways as a sum of consecutive naturals, for example, 570412 + ... + 2639211.

It is an arithmetic number, because the mean of its divisors is an integer number (75220748064).

Almost surely, 2^{3320034031200} is an apocalyptic number.

3320034031200 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 3320034031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415893860608).

3320034031200 is an abundant number, since it is smaller than the sum of its proper divisors (7511753690016).

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

3320034031200 is a wasteful number, since it uses less digits than its factorization.

3320034031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210077 (or 3210064 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 3320034031200 its reverse (21304300233), we get a palindrome (3341338331433).

The spelling of 3320034031200 in words is "three trillion, three hundred twenty billion, thirty-four million, thirty-one thousand, two hundred".