3201021023200 has 648 divisors, whose sum is σ = 10630138471344. Its totient is φ = 920940134400.

The previous prime is 3201021023197. The next prime is 3201021023201. The reversal of 3201021023200 is 23201201023.

3201021023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201021023201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 114500424 + ... + 114528376.

It is an arithmetic number, because the mean of its divisors is an integer number (16404534678).

Almost surely, 2^{3201021023200} 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 3201021023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315069235672).

3201021023200 is an abundant number, since it is smaller than the sum of its proper divisors (7429117448144).

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

3201021023200 is a wasteful number, since it uses less digits than its factorization.

3201021023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28028 (or 27991 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3201021023200 its reverse (23201201023), we get a palindrome (3224222224223).

The spelling of 3201021023200 in words is "three trillion, two hundred one billion, twenty-one million, twenty-three thousand, two hundred".