3340800 has 180 divisors, whose sum is σ = 12368070. Its totient is φ = 860160.

The previous prime is 3340769. The next prime is 3340811. The reversal of 3340800 is 80433.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 831744 = 1584^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3340800² = 22321889280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115186 + ... + 115214.

Almost surely, 2^3340800 is an apocalyptic number.

3340800 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 3340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184035).

3340800 is an abundant number, since it is smaller than the sum of its proper divisors (9027270).

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

3340800 is a wasteful number, since it uses less digits than its factorization.

3340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3340800 is about 1827.7855454073. The cubic root of 3340800 is about 149.4916122258.

The spelling of 3340800 in words is "three million, three hundred forty thousand, eight hundred".