3887584512 has 144 divisors (see below), whose sum is σ = 12206702592. Its totient is φ = 1074862080.

The previous prime is 3887584489. The next prime is 3887584529. The reversal of 3887584512 is 2154857883.

It is a super-2 number, since 2×3887584512² = 30226626675884556288, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154993 + ... + 178319.

It is an arithmetic number, because the mean of its divisors is an integer number (84768768).

Almost surely, 2^3887584512 is an apocalyptic number.

3887584512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103351296).

3887584512 is an abundant number, since it is smaller than the sum of its proper divisors (8319118080).

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

3887584512 is a wasteful number, since it uses less digits than its factorization.

3887584512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23384 (or 23370 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The square root of 3887584512 is about 62350.4972875117. The cubic root of 3887584512 is about 1572.3888218448.

The spelling of 3887584512 in words is "three billion, eight hundred eighty-seven million, five hundred eighty-four thousand, five hundred twelve".