3976870464 has 168 divisors, whose sum is σ = 13448068608. Its totient is φ = 1099560960.

The previous prime is 3976870463. The next prime is 3976870511. The reversal of 3976870464 is 4640786793.

It is a happy number.

3976870464 is a `hidden beast` number, since 39 + 76 + 87 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3976870464.

It is not an unprimeable number, because it can be changed into a prime (3976870463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109084 + ... + 140900.

Almost surely, 2^3976870464 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 3976870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724034304).

3976870464 is an abundant number, since it is smaller than the sum of its proper divisors (9471198144).

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

3976870464 is a wasteful number, since it uses less digits than its factorization.

3976870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873 (or 31860 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3976870464 is about 63062.4330643847. The cubic root of 3976870464 is about 1584.3354814367.

The spelling of 3976870464 in words is "three billion, nine hundred seventy-six million, eight hundred seventy thousand, four hundred sixty-four".