3408800 has 36 divisors (see below), whose sum is σ = 8323686. Its totient is φ = 1363200.

The previous prime is 3408799. The next prime is 3408803. The reversal of 3408800 is 88043.

It can be written as a sum of positive squares in 3 ways, for example, as 3225616 + 183184 = 1796^2 + 428^2 .

It is not an unprimeable number, because it can be changed into a prime (3408803) 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, 1331 + ... + 2930.

Almost surely, 2^3408800 is an apocalyptic number.

It is an amenable number.

3408800 is an abundant number, since it is smaller than the sum of its proper divisors (4914886).

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

3408800 is a wasteful number, since it uses less digits than its factorization.

3408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3408800 is about 1846.2935844551. The cubic root of 3408800 is about 150.4990783710.

The spelling of 3408800 in words is "three million, four hundred eight thousand, eight hundred".