3230314550400 has 384 divisors, whose sum is σ = 12313769011200. Its totient is φ = 729010114560.

The previous prime is 3230314550389. The next prime is 3230314550401. The reversal of 3230314550400 is 40554130323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3230314550401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5004559 + ... + 5613041.

It is an arithmetic number, because the mean of its divisors is an integer number (32067106800).

Almost surely, 2^{3230314550400} is an apocalyptic number.

3230314550400 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 3230314550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156884505600).

3230314550400 is an abundant number, since it is smaller than the sum of its proper divisors (9083454460800).

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

3230314550400 is a wasteful number, since it uses less digits than its factorization.

3230314550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608596 (or 608579 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 3230314550400 its reverse (40554130323), we get a palindrome (3270868680723).

The spelling of 3230314550400 in words is "three trillion, two hundred thirty billion, three hundred fourteen million, five hundred fifty thousand, four hundred".