3976400 has 30 divisors (see below), whose sum is σ = 9554262. Its totient is φ = 1590400.

The previous prime is 3976397. The next prime is 3976403. The reversal of 3976400 is 46793.

3976400 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 (3976397) and next prime (3976403).

It can be written as a sum of positive squares in 3 ways, for example, as 71824 + 3904576 = 268^2 + 1976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976403) 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 5 ways as a sum of consecutive naturals, for example, 4571 + ... + 5370.

Almost surely, 2^3976400 is an apocalyptic number.

It is an amenable number.

3976400 is an abundant number, since it is smaller than the sum of its proper divisors (5577862).

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

3976400 is a wasteful number, since it uses less digits than its factorization.

3976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3976400 is about 1994.0912717326. The cubic root of 3976400 is about 158.4273003314.

The spelling of 3976400 in words is "three million, nine hundred seventy-six thousand, four hundred".