3314410400 has 144 divisors (see below), whose sum is σ = 9649632384. Its totient is φ = 1086919680.

The previous prime is 3314410391. The next prime is 3314410441. The reversal of 3314410400 is 40144133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115934 + ... + 141666.

It is an arithmetic number, because the mean of its divisors is an integer number (67011336).

Almost surely, 2^3314410400 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 3314410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824816192).

3314410400 is an abundant number, since it is smaller than the sum of its proper divisors (6335221984).

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

3314410400 is a wasteful number, since it uses less digits than its factorization.

3314410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3314410400 is about 57570.9162685466. The cubic root of 3314410400 is about 1490.9695055107.

Adding to 3314410400 its reverse (40144133), we get a palindrome (3354554533).

The spelling of 3314410400 in words is "three billion, three hundred fourteen million, four hundred ten thousand, four hundred".