3419424 has 72 divisors (see below), whose sum is σ = 10063872. Its totient is φ = 1100160.

The previous prime is 3419413. The next prime is 3419443. The reversal of 3419424 is 4249143.

3419424 = 317² + 318² + ... + 347².

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8737 + ... + 9119.

It is an arithmetic number, because the mean of its divisors is an integer number (139776).

Almost surely, 2^3419424 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 3419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936).

3419424 is an abundant number, since it is smaller than the sum of its proper divisors (6644448).

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

3419424 is a wasteful number, since it uses less digits than its factorization.

3419424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3419424 is about 1849.1684617687. The cubic root of 3419424 is about 150.6552666691.

The spelling of 3419424 in words is "three million, four hundred nineteen thousand, four hundred twenty-four".