3424960 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1059840.

The previous prime is 3424957. The next prime is 3424961. The reversal of 3424960 is 694243.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3424961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24571 + ... + 24709.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 2^3424960 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 3424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3424960 is an abundant number, since it is smaller than the sum of its proper divisors (6816320).

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

3424960 is a wasteful number, since it uses less digits than its factorization.

3424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3424960 is about 1850.6647454361. The cubic root of 3424960 is about 150.7365257610.

The spelling of 3424960 in words is "three million, four hundred twenty-four thousand, nine hundred sixty".