3405744 has 60 divisors (see below), whose sum is σ = 9701016. Its totient is φ = 1115136.

The previous prime is 3405737. The next prime is 3405749. The reversal of 3405744 is 4475043.

It is not an unprimeable number, because it can be changed into a prime (3405749) 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, 9472 + ... + 9824.

Almost surely, 2^3405744 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 3405744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850508).

3405744 is an abundant number, since it is smaller than the sum of its proper divisors (6295272).

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

3405744 is a wasteful number, since it uses less digits than its factorization.

3405744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3405744 is about 1845.4657948605. The cubic root of 3405744 is about 150.4540906242.

It can be divided in two parts, 340 and 5744, that added together give a square (6084 = 78²).

The spelling of 3405744 in words is "three million, four hundred five thousand, seven hundred forty-four".