3828569472 has 384 divisors, whose sum is σ = 13811616000. Its totient is φ = 991014912.

The previous prime is 3828569449. The next prime is 3828569497. The reversal of 3828569472 is 2749658283.

3828569472 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 569 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6184779 + ... + 6185397.

It is an arithmetic number, because the mean of its divisors is an integer number (35967750).

Almost surely, 2^3828569472 is an apocalyptic number.

3828569472 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 3828569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808000).

3828569472 is an abundant number, since it is smaller than the sum of its proper divisors (9983046528).

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

3828569472 is a wasteful number, since it uses less digits than its factorization.

3828569472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 703 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3828569472 is about 61875.4351257428. The cubic root of 3828569472 is about 1564.3917273281.

The spelling of 3828569472 in words is "three billion, eight hundred twenty-eight million, five hundred sixty-nine thousand, four hundred seventy-two".