3828539520 has 960 divisors, whose sum is σ = 16261819200. Its totient is φ = 853991424.

The previous prime is 3828539509. The next prime is 3828539521. The reversal of 3828539520 is 259358283.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828539521) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 166458229 + ... + 166458251.

It is an arithmetic number, because the mean of its divisors is an integer number (16939395).

Almost surely, 2^3828539520 is an apocalyptic number.

3828539520 is a gapful number since it is divisible by the number (30) 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 3828539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130909600).

3828539520 is an abundant number, since it is smaller than the sum of its proper divisors (12433279680).

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

3828539520 is a wasteful number, since it uses less digits than its factorization.

3828539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3828539520 is about 61875.1930906078. The cubic root of 3828539520 is about 1564.3876477553.

The spelling of 3828539520 in words is "three billion, eight hundred twenty-eight million, five hundred thirty-nine thousand, five hundred twenty".