3214400 has 126 divisors (see below), whose sum is σ = 9425178. Its totient is φ = 1075200.

The previous prime is 3214399. The next prime is 3214417. The reversal of 3214400 is 44123.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 3211264 = 56^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78380 + ... + 78420.

It is an arithmetic number, because the mean of its divisors is an integer number (74803).

Almost surely, 2^3214400 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 3214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712589).

3214400 is an abundant number, since it is smaller than the sum of its proper divisors (6210778).

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

3214400 is a wasteful number, since it uses less digits than its factorization.

3214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3214400 is about 1792.8747864812. The cubic root of 3214400 is about 147.5819710991.

Adding to 3214400 its reverse (44123), we get a palindrome (3258523).

The spelling of 3214400 in words is "three million, two hundred fourteen thousand, four hundred".