3407744 has 32 divisors (see below), whose sum is σ = 6895200. Its totient is φ = 1677312.

The previous prime is 3407743. The next prime is 3407753. The reversal of 3407744 is 4477043.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3407744² = 23225438339072, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9944 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (215475).

Almost surely, 2^3407744 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 3407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447600).

3407744 is an abundant number, since it is smaller than the sum of its proper divisors (3487456).

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

3407744 is an equidigital number, since it uses as much as digits as its factorization.

3407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 3407744 is about 1846.0075839498. The cubic root of 3407744 is about 150.4835359083.

The spelling of 3407744 in words is "three million, four hundred seven thousand, seven hundred forty-four".