3424560 has 80 divisors (see below), whose sum is σ = 11189760. Its totient is φ = 864000.

The previous prime is 3424559. The next prime is 3424567. The reversal of 3424560 is 654243.

3424560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3424560² = 23455222387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3424560.

It is not an unprimeable number, because it can be changed into a prime (3424567) 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, 4185 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (139872).

Almost surely, 2^3424560 is an apocalyptic number.

3424560 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 3424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594880).

3424560 is an abundant number, since it is smaller than the sum of its proper divisors (7765200).

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

3424560 is a wasteful number, since it uses less digits than its factorization.

3424560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3424560 is about 1850.5566730041. The cubic root of 3424560 is about 150.7306573754.

The spelling of 3424560 in words is "three million, four hundred twenty-four thousand, five hundred sixty".