3828824524 has 72 divisors (see below), whose sum is σ = 8454478032. Its totient is φ = 1506677760.

The previous prime is 3828824521. The next prime is 3828824537. The reversal of 3828824524 is 4254288283.

It is not an unprimeable number, because it can be changed into a prime (3828824521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 122599 + ... + 150625.

It is an arithmetic number, because the mean of its divisors is an integer number (117423306).

Almost surely, 2^3828824524 is an apocalyptic number.

3828824524 is a gapful number since it is divisible by the number (34) 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 3828824524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227239016).

3828824524 is an abundant number, since it is smaller than the sum of its proper divisors (4625653508).

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

3828824524 is a wasteful number, since it uses less digits than its factorization.

3828824524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28103 (or 28094 counting only the distinct ones).

The product of its digits is 983040, while the sum is 46.

The square root of 3828824524 is about 61877.4961031876. The cubic root of 3828824524 is about 1564.4264654883.

The spelling of 3828824524 in words is "three billion, eight hundred twenty-eight million, eight hundred twenty-four thousand, five hundred twenty-four".