3404400 has 60 divisors (see below), whose sum is σ = 10909272. Its totient is φ = 907520.

The previous prime is 3404399. The next prime is 3404431. The reversal of 3404400 is 44043.

It is a tau number, because it is divible by the number of its divisors (60).

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 3404400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 2618.

Almost surely, 2^3404400 is an apocalyptic number.

3404400 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 3404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454636).

3404400 is an abundant number, since it is smaller than the sum of its proper divisors (7504872).

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

3404400 is a wasteful number, since it uses less digits than its factorization.

3404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3404400 is about 1845.1016232175. The cubic root of 3404400 is about 150.4342969166.

Adding to 3404400 its reverse (44043), we get a palindrome (3448443).

The spelling of 3404400 in words is "three million, four hundred four thousand, four hundred".