3314230400 has 96 divisors (see below), whose sum is σ = 8817078900. Its totient is φ = 1223700480.

The previous prime is 3314230349. The next prime is 3314230411. The reversal of 3314230400 is 40324133.

It can be written as a sum of positive squares in 6 ways, for example, as 652495936 + 2661734464 = 25544^2 + 51592^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766 + ... + 81434.

Almost surely, 2^3314230400 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 3314230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408539450).

3314230400 is an abundant number, since it is smaller than the sum of its proper divisors (5502848500).

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

3314230400 is a wasteful number, since it uses less digits than its factorization.

3314230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79706 (or 79689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3314230400 is about 57569.3529579758. The cubic root of 3314230400 is about 1490.9425143481.

Adding to 3314230400 its reverse (40324133), we get a palindrome (3354554533).

The spelling of 3314230400 in words is "three billion, three hundred fourteen million, two hundred thirty thousand, four hundred".