3040800 has 144 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 691200.

The previous prime is 3040787. The next prime is 3040811. The reversal of 3040800 is 80403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3040800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16710 + ... + 16890.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

Almost surely, 2^3040800 is an apocalyptic number.

3040800 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 3040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3040800 is an abundant number, since it is smaller than the sum of its proper divisors (8333472).

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

3040800 is a wasteful number, since it uses less digits than its factorization.

3040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3040800 is about 1743.7889780590. The cubic root of 3040800 is about 144.8758350463.

The spelling of 3040800 in words is "three million, forty thousand, eight hundred".