3397344 has 48 divisors (see below), whose sum is σ = 9136512. Its totient is φ = 1104768.

The previous prime is 3397343. The next prime is 3397351. The reversal of 3397344 is 4437933.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397343) 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, 3717 + ... + 4539.

It is an arithmetic number, because the mean of its divisors is an integer number (190344).

Almost surely, 2^3397344 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 3397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568256).

3397344 is an abundant number, since it is smaller than the sum of its proper divisors (5739168).

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

3397344 is a wasteful number, since it uses less digits than its factorization.

3397344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 3397344 is about 1843.1885416311. The cubic root of 3397344 is about 150.3302943925.

It can be divided in two parts, 3397 and 344, that added together give a triangular number (3741 = T₈₆).

The spelling of 3397344 in words is "three million, three hundred ninety-seven thousand, three hundred forty-four".