3440800 has 144 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1126400.

The previous prime is 3440771. The next prime is 3440807. The reversal of 3440800 is 80443.

It is not an unprimeable number, because it can be changed into a prime (3440807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149589 + ... + 149611.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 2^3440800 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 3440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

3440800 is an abundant number, since it is smaller than the sum of its proper divisors (6683552).

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

3440800 is a wasteful number, since it uses less digits than its factorization.

3440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3440800 is about 1854.9393521083. The cubic root of 3440800 is about 150.9685474598.

The spelling of 3440800 in words is "three million, four hundred forty thousand, eight hundred".