3424800 has 72 divisors (see below), whose sum is σ = 11155536. Its totient is φ = 912640.

The previous prime is 3424789. The next prime is 3424801. The reversal of 3424800 is 84243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3424801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1687 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (154938).

Almost surely, 2^3424800 is an apocalyptic number.

3424800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577768).

3424800 is an abundant number, since it is smaller than the sum of its proper divisors (7730736).

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

3424800 is a wasteful number, since it uses less digits than its factorization.

3424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3424800 is about 1850.6215172206. The cubic root of 3424800 is about 150.7341784616.

It can be divided in two parts, 3424 and 800, that added together give a palindrome (4224).

The spelling of 3424800 in words is "three million, four hundred twenty-four thousand, eight hundred".