3421440334400 has 126 divisors (see below), whose sum is σ = 9253812555330. Its totient is φ = 1244160051200.

The previous prime is 3421440334379. The next prime is 3421440334409. The reversal of 3421440334400 is 44330441243.

It can be written as a sum of positive squares in 3 ways, for example, as 4059218944 + 3417381115456 = 63712^2 + 1848616^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3421440334409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8642765 + ... + 9029964.

Almost surely, 2^{3421440334400} is an apocalyptic number.

It is an amenable number.

3421440334400 is an abundant number, since it is smaller than the sum of its proper divisors (5832372220930).

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

3421440334400 is a wasteful number, since it uses less digits than its factorization.

3421440334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17672773 (or 17672747 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3421440334400 its reverse (44330441243), we get a palindrome (3465770775643).

The spelling of 3421440334400 in words is "three trillion, four hundred twenty-one billion, four hundred forty million, three hundred thirty-four thousand, four hundred".