3697344 has 126 divisors (see below), whose sum is σ = 12422124. Its totient is φ = 1048320.

The previous prime is 3697321. The next prime is 3697361. The reversal of 3697344 is 4437963.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3697299 and 3697308.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28159 + ... + 28289.

Almost surely, 2^3697344 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 3697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211062).

3697344 is an abundant number, since it is smaller than the sum of its proper divisors (8724780).

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

3697344 is a wasteful number, since it uses less digits than its factorization.

3697344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3697344 is about 1922.8478878996. The cubic root of 3697344 is about 154.6310196617.

It can be divided in two parts, 36 and 97344, that multiplied together give a square (3504384 = 1872²).

The spelling of 3697344 in words is "three million, six hundred ninety-seven thousand, three hundred forty-four".