3976840 has 48 divisors (see below), whose sum is σ = 10413900. Its totient is φ = 1362816.

The previous prime is 3976831. The next prime is 3976849. The reversal of 3976840 is 486793.

3976840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3976831) and next prime (3976849).

It can be written as a sum of positive squares in 2 ways, for example, as 3678724 + 298116 = 1918^2 + 546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3976840.

It is not an unprimeable number, because it can be changed into a prime (3976849) 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, 946 + ... + 2974.

Almost surely, 2^3976840 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 3976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206950).

3976840 is an abundant number, since it is smaller than the sum of its proper divisors (6437060).

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

3976840 is a wasteful number, since it uses less digits than its factorization.

3976840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3976840 is about 1994.2015946238. The cubic root of 3976840 is about 158.4331435934.

The spelling of 3976840 in words is "three million, nine hundred seventy-six thousand, eight hundred forty".