3424784 has 60 divisors (see below), whose sum is σ = 7668780. Its totient is φ = 1478400.

The previous prime is 3424783. The next prime is 3424789. The reversal of 3424784 is 4874243.

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 2650384 = 880^2 + 1628^2 .

It is a d-powerful number, because it can be written as 3⁴ + 4² + 2²¹ + 4⁹ + 7⁵ + 8 + 4¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 3424784.

It is not an unprimeable number, because it can be changed into a prime (3424781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56114 + ... + 56174.

It is an arithmetic number, because the mean of its divisors is an integer number (127813).

Almost surely, 2^3424784 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 3424784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834390).

3424784 is an abundant number, since it is smaller than the sum of its proper divisors (4243996).

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

3424784 is a wasteful number, since it uses less digits than its factorization.

3424784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 3424784 is about 1850.6171943436. The cubic root of 3424784 is about 150.7339437276.

The spelling of 3424784 in words is "three million, four hundred twenty-four thousand, seven hundred eighty-four".