3405024 has 96 divisors (see below), whose sum is σ = 11370240. Its totient is φ = 971136.

The previous prime is 3405023. The next prime is 3405037. The reversal of 3405024 is 4205043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3404988 and 3405006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5767 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (118440).

Almost surely, 2^3405024 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 3405024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685120).

3405024 is an abundant number, since it is smaller than the sum of its proper divisors (7965216).

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

3405024 is a wasteful number, since it uses less digits than its factorization.

3405024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3405024 is about 1845.2707118469. The cubic root of 3405024 is about 150.4434875000.

The spelling of 3405024 in words is "three million, four hundred five thousand, twenty-four".