3864442600 has 24 divisors (see below), whose sum is σ = 8984829510. Its totient is φ = 1545776960.

The previous prime is 3864442579. The next prime is 3864442607. The reversal of 3864442600 is 62444683.

It can be written as a sum of positive squares in 3 ways, for example, as 3415934916 + 448507684 = 58446^2 + 21178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3864442600.

It is not an unprimeable number, because it can be changed into a prime (3864442607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9660907 + ... + 9661306.

Almost surely, 2^3864442600 is an apocalyptic number.

It is an amenable number.

3864442600 is an abundant number, since it is smaller than the sum of its proper divisors (5120386910).

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

3864442600 is a wasteful number, since it uses less digits than its factorization.

3864442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322229 (or 19322220 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 3864442600 is about 62164.6410751321. The cubic root of 3864442600 is about 1569.2625852563.

The spelling of 3864442600 in words is "three billion, eight hundred sixty-four million, four hundred forty-two thousand, six hundred".