3828754944 has 360 divisors, whose sum is σ = 13293042048. Its totient is φ = 1056706560.

The previous prime is 3828754933. The next prime is 3828754967. The reversal of 3828754944 is 4494578283.

3828754944 is a `hidden beast` number, since 3 + 82 + 8 + 75 + 494 + 4 = 666.

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 35 ways as a sum of consecutive naturals, for example, 6999279 + ... + 6999825.

Almost surely, 2^3828754944 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 3828754944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646521024).

3828754944 is an abundant number, since it is smaller than the sum of its proper divisors (9464287104).

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

3828754944 is a wasteful number, since it uses less digits than its factorization.

3828754944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 590 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3828754944 is about 61876.9338606883. The cubic root of 3828754944 is about 1564.4169888241.

The spelling of 3828754944 in words is "three billion, eight hundred twenty-eight million, seven hundred fifty-four thousand, nine hundred forty-four".