3214214400 has 108 divisors (see below), whose sum is σ = 10607640512. Its totient is φ = 857118720.

The previous prime is 3214214357. The next prime is 3214214411. The reversal of 3214214400 is 44124123.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 64504 + ... + 102903.

Almost surely, 2^3214214400 is an apocalyptic number.

3214214400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214214400 is an abundant number, since it is smaller than the sum of its proper divisors (7393426112).

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

3214214400 is a wasteful number, since it uses less digits than its factorization.

3214214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167436 (or 167417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3214214400 is about 56694.0420150125. The cubic root of 3214214400 is about 1475.7913057513.

Adding to 3214214400 its reverse (44124123), we get a palindrome (3258338523).

The spelling of 3214214400 in words is "three billion, two hundred fourteen million, two hundred fourteen thousand, four hundred".