3828244420 has 192 divisors, whose sum is σ = 11047550976. Its totient is φ = 1075576320.

The previous prime is 3828244411. The next prime is 3828244421. The reversal of 3828244420 is 244428283.

It is a super-2 number, since 2×3828244420² = 29310910678522272800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3828244420.

It is not an unprimeable number, because it can be changed into a prime (3828244421) 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 63 ways as a sum of consecutive naturals, for example, 858637 + ... + 863083.

It is an arithmetic number, because the mean of its divisors is an integer number (57539328).

Almost surely, 2^3828244420 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 3828244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523775488).

3828244420 is an abundant number, since it is smaller than the sum of its proper divisors (7219306556).

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

3828244420 is a wasteful number, since it uses less digits than its factorization.

3828244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The square root of 3828244420 is about 61872.8084056316. The cubic root of 3828244420 is about 1564.3474529104.

The spelling of 3828244420 in words is "three billion, eight hundred twenty-eight million, two hundred forty-four thousand, four hundred twenty".