3966286464 has 96 divisors (see below), whose sum is σ = 13043915040. Its totient is φ = 1133222400.

The previous prime is 3966286459. The next prime is 3966286487. The reversal of 3966286464 is 4646826693.

3966286464 is a `hidden beast` number, since 3 + 9 + 6 + 628 + 6 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3966286464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237862 + ... + 253989.

It is an arithmetic number, because the mean of its divisors is an integer number (135874115).

Almost surely, 2^3966286464 is an apocalyptic number.

It is an amenable number.

3966286464 is an abundant number, since it is smaller than the sum of its proper divisors (9077628576).

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

3966286464 is a wasteful number, since it uses less digits than its factorization.

3966286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491878 (or 491863 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3966286464 is about 62978.4603177944. The cubic root of 3966286464 is about 1582.9287216197.

The spelling of 3966286464 in words is "three billion, nine hundred sixty-six million, two hundred eighty-six thousand, four hundred sixty-four".