3321341224400 has 60 divisors (see below), whose sum is σ = 8448905973132. Its totient is φ = 1250387281920.

The previous prime is 3321341224361. The next prime is 3321341224403. The reversal of 3321341224400 is 44221431233.

It can be written as a sum of positive squares in 6 ways, for example, as 41794078096 + 3279547146304 = 204436^2 + 1810952^2 .

It is a super-2 number, since 2×3321341224400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321341224403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244209467 + ... + 244223066.

Almost surely, 2^{3321341224400} is an apocalyptic number.

It is an amenable number.

3321341224400 is an abundant number, since it is smaller than the sum of its proper divisors (5127564748732).

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

3321341224400 is a wasteful number, since it uses less digits than its factorization.

3321341224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488432568 (or 488432557 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3321341224400 its reverse (44221431233), we get a palindrome (3365562655633).

The spelling of 3321341224400 in words is "three trillion, three hundred twenty-one billion, three hundred forty-one million, two hundred twenty-four thousand, four hundred".