3887642304 has 672 divisors, whose sum is σ = 14787042816. Its totient is φ = 985374720.

The previous prime is 3887642279. The next prime is 3887642351. The reversal of 3887642304 is 4032467883.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3887642304² = 30227525367700856832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3887642304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58024479 + ... + 58024545.

It is an arithmetic number, because the mean of its divisors is an integer number (22004528).

Almost surely, 2^3887642304 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 3887642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393521408).

3887642304 is an abundant number, since it is smaller than the sum of its proper divisors (10899400512).

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

3887642304 is a wasteful number, since it uses less digits than its factorization.

3887642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3887642304 is about 62350.9607303689. The cubic root of 3887642304 is about 1572.3966134048.

The spelling of 3887642304 in words is "three billion, eight hundred eighty-seven million, six hundred forty-two thousand, three hundred four".