3404800 has 132 divisors (see below), whose sum is σ = 10153120. Its totient is φ = 1105920.

The previous prime is 3404771. The next prime is 3404801. The reversal of 3404800 is 84043.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404801) 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, 179191 + ... + 179209.

Almost surely, 2^3404800 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 3404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076560).

3404800 is an abundant number, since it is smaller than the sum of its proper divisors (6748320).

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

3404800 is a wasteful number, since it uses less digits than its factorization.

3404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

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

The square root of 3404800 is about 1845.2100151473. The cubic root of 3404800 is about 150.4401884454.

Adding to 3404800 its reverse (84043), we get a palindrome (3488843).

The spelling of 3404800 in words is "three million, four hundred four thousand, eight hundred".