3976144000 has 64 divisors (see below), whose sum is σ = 9885727800. Its totient is φ = 1590451200.

The previous prime is 3976143959. The next prime is 3976144001. The reversal of 3976144000 is 4416793.

It is a happy number.

3976144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 253191744 + 3722952256 = 15912^2 + 61016^2 .

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

It is a super-2 number, since 2×3976144000² = 31619442217472000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3976144001) 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, 108255 + ... + 140254.

Almost surely, 2^3976144000 is an apocalyptic number.

It is an amenable number.

3976144000 is an abundant number, since it is smaller than the sum of its proper divisors (5909583800).

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

3976144000 is an equidigital number, since it uses as much as digits as its factorization.

3976144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248538 (or 248516 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3976144000 is about 63056.6729220627. The cubic root of 3976144000 is about 1584.2390041697.

The spelling of 3976144000 in words is "three billion, nine hundred seventy-six million, one hundred forty-four thousand".