3314405200 has 60 divisors (see below), whose sum is σ = 7986140640. Its totient is φ = 1321886080.

The previous prime is 3314405197. The next prime is 3314405231. The reversal of 3314405200 is 25044133.

3314405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126861 + ... + 150739.

It is an arithmetic number, because the mean of its divisors is an integer number (133102344).

Almost surely, 2^3314405200 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 3314405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993070320).

3314405200 is an abundant number, since it is smaller than the sum of its proper divisors (4671735440).

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

3314405200 is a wasteful number, since it uses less digits than its factorization.

3314405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24244 (or 24233 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3314405200 is about 57570.8711068367. The cubic root of 3314405200 is about 1490.9687257797.

Adding to 3314405200 its reverse (25044133), we get a palindrome (3339449333).

The spelling of 3314405200 in words is "three billion, three hundred fourteen million, four hundred five thousand, two hundred".