3884124672 has 120 divisors (see below), whose sum is σ = 11249836884. Its totient is φ = 1290092544.

The previous prime is 3884124661. The next prime is 3884124703. The reversal of 3884124672 is 2764214883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3301191936 + 582932736 = 57456^2 + 24144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440958 + ... + 1443650.

Almost surely, 2^3884124672 is an apocalyptic number.

3884124672 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 3884124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624918442).

3884124672 is an abundant number, since it is smaller than the sum of its proper divisors (7365712212).

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

3884124672 is a wasteful number, since it uses less digits than its factorization.

3884124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3011 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3884124672 is about 62322.7460242246. The cubic root of 3884124672 is about 1571.9222229064.

The spelling of 3884124672 in words is "three billion, eight hundred eighty-four million, one hundred twenty-four thousand, six hundred seventy-two".