3982406564 has 24 divisors (see below), whose sum is σ = 7049161728. Its totient is φ = 1968472800.

The previous prime is 3982406539. The next prime is 3982406567. The reversal of 3982406564 is 4656042893.

It is not an unprimeable number, because it can be changed into a prime (3982406567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129914 + ... + 157614.

It is an arithmetic number, because the mean of its divisors is an integer number (293715072).

Almost surely, 2^3982406564 is an apocalyptic number.

It is an amenable number.

3982406564 is a deficient number, since it is larger than the sum of its proper divisors (3066755164).

3982406564 is a wasteful number, since it uses less digits than its factorization.

3982406564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28115 (or 28113 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The square root of 3982406564 is about 63106.3116019309. The cubic root of 3982406564 is about 1585.0703115754.

The spelling of 3982406564 in words is "three billion, nine hundred eighty-two million, four hundred six thousand, five hundred sixty-four".