3828296000 has 112 divisors (see below), whose sum is σ = 9660727440. Its totient is φ = 1502259200.

The previous prime is 3828295987. The next prime is 3828296009. The reversal of 3828296000 is 6928283.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 54405376 + 3773890624 = 7376^2 + 61432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828296009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 419486 + ... + 428514.

It is an arithmetic number, because the mean of its divisors is an integer number (86256495).

Almost surely, 2^3828296000 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 3828296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830363720).

3828296000 is an abundant number, since it is smaller than the sum of its proper divisors (5832431440).

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

3828296000 is an equidigital number, since it uses as much as digits as its factorization.

3828296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 3828296000 is about 61873.2252270722. The cubic root of 3828296000 is about 1564.3544786443.

The spelling of 3828296000 in words is "three billion, eight hundred twenty-eight million, two hundred ninety-six thousand".