3404960 has 48 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 1256448.

The previous prime is 3404923. The next prime is 3404969. The reversal of 3404960 is 694043.

3404960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 2298256 = 1052^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3404969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262 + ... + 2898.

Almost surely, 2^3404960 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 3404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

3404960 is an abundant number, since it is smaller than the sum of its proper divisors (5263336).

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

3404960 is a wasteful number, since it uses less digits than its factorization.

3404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3404960 is about 1845.2533701365. The cubic root of 3404960 is about 150.4425449278.

The spelling of 3404960 in words is "three million, four hundred four thousand, nine hundred sixty".