3413314644400 has 60 divisors (see below), whose sum is σ = 8202227063800. Its totient is φ = 1365036387840.

The previous prime is 3413314644373. The next prime is 3413314644407. The reversal of 3413314644400 is 44464133143.

It is a self number, because there is not a number n which added to its sum of digits gives 3413314644400.

It is not an unprimeable number, because it can be changed into a prime (3413314644407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989371 + ... + 2793829.

Almost surely, 2^{3413314644400} is an apocalyptic number.

It is an amenable number.

3413314644400 is an abundant number, since it is smaller than the sum of its proper divisors (4788912419400).

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

3413314644400 is a wasteful number, since it uses less digits than its factorization.

3413314644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809206 (or 1809195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 3413314644400 its reverse (44464133143), we get a palindrome (3457778777543).

The spelling of 3413314644400 in words is "three trillion, four hundred thirteen billion, three hundred fourteen million, six hundred forty-four thousand, four hundred".