3977344 has 64 divisors (see below), whose sum is σ = 9498240. Its totient is φ = 1622016.

The previous prime is 3977341. The next prime is 3977353. The reversal of 3977344 is 4437793.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977341) 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, 20512 + ... + 20704.

It is an arithmetic number, because the mean of its divisors is an integer number (148410).

Almost surely, 2^3977344 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 3977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749120).

3977344 is an abundant number, since it is smaller than the sum of its proper divisors (5520896).

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

3977344 is a wasteful number, since it uses less digits than its factorization.

3977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 63504, while the sum is 37.

The square root of 3977344 is about 1994.3279569820. The cubic root of 3977344 is about 158.4398362549.

The spelling of 3977344 in words is "three million, nine hundred seventy-seven thousand, three hundred forty-four".