3214414400 has 168 divisors, whose sum is σ = 8520927840. Its totient is φ = 1189027840.

The previous prime is 3214414387. The next prime is 3214414447. The reversal of 3214414400 is 44144123.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1603799 + ... + 1605801.

Almost surely, 2^3214414400 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 3214414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260463920).

3214414400 is an abundant number, since it is smaller than the sum of its proper divisors (5306513440).

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

3214414400 is a wasteful number, since it uses less digits than its factorization.

3214414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3214414400 is about 56695.8058413495. The cubic root of 3214414400 is about 1475.8219148004.

Adding to 3214414400 its reverse (44144123), we get a palindrome (3258558523).

The spelling of 3214414400 in words is "three billion, two hundred fourteen million, four hundred fourteen thousand, four hundred".