3314328400 has 60 divisors (see below), whose sum is σ = 7995946684. Its totient is φ = 1320192000.

The previous prime is 3314328383. The next prime is 3314328401. The reversal of 3314328400 is 48234133.

It can be written as a sum of positive squares in 6 ways, for example, as 195776064 + 3118552336 = 13992^2 + 55844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314328401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79210 + ... + 113590.

Almost surely, 2^3314328400 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 3314328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997973342).

3314328400 is an abundant number, since it is smaller than the sum of its proper divisors (4681618284).

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

3314328400 is a wasteful number, since it uses less digits than its factorization.

3314328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34640 (or 34629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3314328400 is about 57570.2040989955. The cubic root of 3314328400 is about 1490.9572096578.

The spelling of 3314328400 in words is "three billion, three hundred fourteen million, three hundred twenty-eight thousand, four hundred".