3418400 has 36 divisors (see below), whose sum is σ = 8347122. Its totient is φ = 1367040.

The previous prime is 3418399. The next prime is 3418403. The reversal of 3418400 is 48143.

It can be written as a sum of positive squares in 3 ways, for example, as 2155024 + 1263376 = 1468^2 + 1124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3418403) 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 5 ways as a sum of consecutive naturals, for example, 1337 + ... + 2936.

Almost surely, 2^3418400 is an apocalyptic number.

It is an amenable number.

3418400 is an abundant number, since it is smaller than the sum of its proper divisors (4928722).

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

3418400 is a wasteful number, since it uses less digits than its factorization.

3418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3418400 is about 1848.8915598271. The cubic root of 3418400 is about 150.6402264756.

The spelling of 3418400 in words is "three million, four hundred eighteen thousand, four hundred".