3230333214400 has 168 divisors, whose sum is σ = 8385174095760. Its totient is φ = 1221465600000.

The previous prime is 3230333214373. The next prime is 3230333214403. The reversal of 3230333214400 is 44123330323.

It is a happy number.

3230333214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3230333214403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13899150 + ... + 14129650.

It is an arithmetic number, because the mean of its divisors is an integer number (49911750570).

Almost surely, 2^{3230333214400} 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 3230333214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192587047880).

3230333214400 is an abundant number, since it is smaller than the sum of its proper divisors (5154840881360).

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

3230333214400 is a wasteful number, since it uses less digits than its factorization.

3230333214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231003 (or 230988 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 3230333214400 its reverse (44123330323), we get a palindrome (3274456544723).

The spelling of 3230333214400 in words is "three trillion, two hundred thirty billion, three hundred thirty-three million, two hundred fourteen thousand, four hundred".