3201223242400 has 36 divisors (see below), whose sum is σ = 7814986242462. Its totient is φ = 1280489296640.

The previous prime is 3201223242389. The next prime is 3201223242439. The reversal of 3201223242400 is 42423221023.

It can be written as a sum of positive squares in 3 ways, for example, as 1980313159696 + 1220910082704 = 1407236^2 + 1104948^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2000763727 + ... + 2000765326.

Almost surely, 2^{3201223242400} is an apocalyptic number.

It is an amenable number.

3201223242400 is an abundant number, since it is smaller than the sum of its proper divisors (4613763000062).

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

3201223242400 is a wasteful number, since it uses less digits than its factorization.

3201223242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001529073 (or 4001529060 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 3201223242400 its reverse (42423221023), we get a palindrome (3243646463423).

The spelling of 3201223242400 in words is "three trillion, two hundred one billion, two hundred twenty-three million, two hundred forty-two thousand, four hundred".