3201214330400 has 144 divisors (see below), whose sum is σ = 8238702689280. Its totient is φ = 1212813772800.

The previous prime is 3201214330393. The next prime is 3201214330403. The reversal of 3201214330400 is 40334121023.

3201214330400 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 (3201214330403) 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, 207605 + ... + 2538804.

It is an arithmetic number, because the mean of its divisors is an integer number (57213213120).

Almost surely, 2^{3201214330400} 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 3201214330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119351344640).

3201214330400 is an abundant number, since it is smaller than the sum of its proper divisors (5037488358880).

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

3201214330400 is a wasteful number, since it uses less digits than its factorization.

3201214330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746507 (or 2746494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 3201214330400 its reverse (40334121023), we get a palindrome (3241548451423).

The spelling of 3201214330400 in words is "three trillion, two hundred one billion, two hundred fourteen million, three hundred thirty thousand, four hundred".