3324800 has 48 divisors (see below), whose sum is σ = 8221200. Its totient is φ = 1328640.

The previous prime is 3324793. The next prime is 3324817. The reversal of 3324800 is 84233.

It is a super-2 number, since 2×3324800² = 22108590080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2681 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (171275).

Almost surely, 2^3324800 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 3324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110600).

3324800 is an abundant number, since it is smaller than the sum of its proper divisors (4896400).

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

3324800 is a wasteful number, since it uses less digits than its factorization.

3324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3324800 is about 1823.4034112066. The cubic root of 3324800 is about 149.2525782199.

The spelling of 3324800 in words is "three million, three hundred twenty-four thousand, eight hundred".