3314412400 has 120 divisors (see below), whose sum is σ = 8665129424. Its totient is φ = 1210982400.

The previous prime is 3314412359. The next prime is 3314412403. The reversal of 3314412400 is 42144133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314412403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501115 + ... + 507685.

Almost surely, 2^3314412400 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 3314412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332564712).

3314412400 is an abundant number, since it is smaller than the sum of its proper divisors (5350717024).

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

3314412400 is a wasteful number, since it uses less digits than its factorization.

3314412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3314412400 is about 57570.9336384256. The cubic root of 3314412400 is about 1490.9698054070.

Adding to 3314412400 its reverse (42144133), we get a palindrome (3356556533).

The spelling of 3314412400 in words is "three billion, three hundred fourteen million, four hundred twelve thousand, four hundred".