3420800 has 48 divisors (see below), whose sum is σ = 8458350. Its totient is φ = 1367040.

The previous prime is 3420799. The next prime is 3420821. The reversal of 3420800 is 80243.

It can be written as a sum of positive squares in 3 ways, for example, as 2483776 + 937024 = 1576^2 + 968^2 .

It is an unprimeable number.

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, 2666 + ... + 3734.

Almost surely, 2^3420800 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 3420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229175).

3420800 is an abundant number, since it is smaller than the sum of its proper divisors (5037550).

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

3420800 is a wasteful number, since it uses less digits than its factorization.

3420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3420800 is about 1849.5404834715. The cubic root of 3420800 is about 150.6754722014.

The spelling of 3420800 in words is "three million, four hundred twenty thousand, eight hundred".