3997344 has 48 divisors (see below), whose sum is σ = 11303712. Its totient is φ = 1229568.

The previous prime is 3997339. The next prime is 3997349. The reversal of 3997344 is 4437993.

It is an interprime number because it is at equal distance from previous prime (3997339) and next prime (3997349).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3997349) 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 7 ways as a sum of consecutive naturals, for example, 354 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (235494).

Almost surely, 2^3997344 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 3997344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651856).

3997344 is an abundant number, since it is smaller than the sum of its proper divisors (7306368).

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

3997344 is a wasteful number, since it uses less digits than its factorization.

3997344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3221 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3997344 is about 1999.3358897394. The cubic root of 3997344 is about 158.7049629409.

It can be divided in two parts, 39 and 97344, that multiplied together give a cube (3796416 = 156³).

The spelling of 3997344 in words is "three million, nine hundred ninety-seven thousand, three hundred forty-four".