3404040 has 64 divisors (see below), whose sum is σ = 10756800. Its totient is φ = 859392.

The previous prime is 3404033. The next prime is 3404041. The reversal of 3404040 is 404043.

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

It is not an unprimeable number, because it can be changed into a prime (3404041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534 + ... + 3026.

It is an arithmetic number, because the mean of its divisors is an integer number (168075).

Almost surely, 2^3404040 is an apocalyptic number.

3404040 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 3404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378400).

3404040 is an abundant number, since it is smaller than the sum of its proper divisors (7352760).

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

3404040 is a wasteful number, since it uses less digits than its factorization.

3404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

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

The square root of 3404040 is about 1845.0040650362. The cubic root of 3404040 is about 150.4289941461.

Subtracting from 3404040 its sum of digits (15), we obtain a square (3404025 = 1845²).

Adding to 3404040 its reverse (404043), we get a palindrome (3808083).

The spelling of 3404040 in words is "three million, four hundred four thousand, forty".