3976544 has 72 divisors (see below), whose sum is σ = 9384480. Its totient is φ = 1647360.

The previous prime is 3976523. The next prime is 3976547. The reversal of 3976544 is 4456793.

3976544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (90720) is a multiple of the sum of its prime divisors (105).

It is a junction number, because it is equal to n+sod(n) for n = 3976498 and 3976507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50297 + ... + 50375.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

Almost surely, 2^3976544 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 3976544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692240).

3976544 is an abundant number, since it is smaller than the sum of its proper divisors (5407936).

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

3976544 is a wasteful number, since it uses less digits than its factorization.

3976544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 3976544 is about 1994.1273780779. The cubic root of 3976544 is about 158.4292127191.

Subtracting 3976544 from its reverse (4456793), we obtain a square (480249 = 693²).

The spelling of 3976544 in words is "three million, nine hundred seventy-six thousand, five hundred forty-four".