3406400 has 42 divisors (see below), whose sum is σ = 8385810. Its totient is φ = 1361920.

The previous prime is 3406391. The next prime is 3406421. The reversal of 3406400 is 46043.

3406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 3356224 = 224^2 + 1832^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 536 + ... + 2664.

Almost surely, 2^3406400 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 3406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192905).

3406400 is an abundant number, since it is smaller than the sum of its proper divisors (4979410).

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

3406400 is a wasteful number, since it uses less digits than its factorization.

3406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3406400 is about 1845.6435192095. The cubic root of 3406400 is about 150.4637499475.

The spelling of 3406400 in words is "three million, four hundred six thousand, four hundred".