3976480 has 48 divisors (see below), whose sum is σ = 9729720. Its totient is φ = 1533952.

The previous prime is 3976477. The next prime is 3976481. The reversal of 3976480 is 846793.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 150544 = 1956^2 + 388^2 .

It is not an unprimeable number, because it can be changed into a prime (3976481) 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, 4212 + ... + 5068.

Almost surely, 2^3976480 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 3976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864860).

3976480 is an abundant number, since it is smaller than the sum of its proper divisors (5753240).

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

3976480 is a wasteful number, since it uses less digits than its factorization.

3976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

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

The square root of 3976480 is about 1994.1113308940. Note that the first 3 decimals coincide. The cubic root of 3976480 is about 158.4283627747.

The spelling of 3976480 in words is "three million, nine hundred seventy-six thousand, four hundred eighty".