3405413203300 has 72 divisors (see below), whose sum is σ = 7478146368000. Its totient is φ = 1345892401920.

The previous prime is 3405413203187. The next prime is 3405413203301. The reversal of 3405413203300 is 33023145043.

3405413203300 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 (3405413203301) 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, 12314349 + ... + 12587851.

It is an arithmetic number, because the mean of its divisors is an integer number (103863144000).

Almost surely, 2^{3405413203300} 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 3405413203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739073184000).

3405413203300 is an abundant number, since it is smaller than the sum of its proper divisors (4072733164700).

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

3405413203300 is a wasteful number, since it uses less digits than its factorization.

3405413203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275005 (or 274998 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 3405413203300 its reverse (33023145043), we get a palindrome (3438436348343).

The spelling of 3405413203300 in words is "three trillion, four hundred five billion, four hundred thirteen million, two hundred three thousand, three hundred".