3809344 has 56 divisors (see below), whose sum is σ = 9436608. Its totient is φ = 1482240.

The previous prime is 3809341. The next prime is 3809369. The reversal of 3809344 is 4439083.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×3809344³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3809341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4542 + ... + 5314.

Almost surely, 2^3809344 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 3809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718304).

3809344 is an abundant number, since it is smaller than the sum of its proper divisors (5627264).

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

3809344 is a wasteful number, since it uses less digits than its factorization.

3809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3809344 is about 1951.7540828701. The cubic root of 3809344 is about 156.1768758636.

The spelling of 3809344 in words is "three million, eight hundred nine thousand, three hundred forty-four".