3414400 has 96 divisors (see below), whose sum is σ = 9296280. Its totient is φ = 1228800.

The previous prime is 3414391. The next prime is 3414401. The reversal of 3414400 is 44143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35152 + ... + 35248.

Almost surely, 2^3414400 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 3414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648140).

3414400 is an abundant number, since it is smaller than the sum of its proper divisors (5881880).

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

3414400 is a wasteful number, since it uses less digits than its factorization.

3414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3414400 is about 1847.8095139922. The cubic root of 3414400 is about 150.5814469213.

Adding to 3414400 its reverse (44143), we get a palindrome (3458543).

The spelling of 3414400 in words is "three million, four hundred fourteen thousand, four hundred".