3829920000 has 360 divisors, whose sum is σ = 13026330240. Its totient is φ = 998400000.

The previous prime is 3829919983. The next prime is 3829920007. The reversal of 3829920000 is 299283.

It is not an unprimeable number, because it can be changed into a prime (3829920007) 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 39 ways as a sum of consecutive naturals, for example, 37919950 + ... + 37920050.

Almost surely, 2^3829920000 is an apocalyptic number.

3829920000 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 3829920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513165120).

3829920000 is an abundant number, since it is smaller than the sum of its proper divisors (9196410240).

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

3829920000 is an equidigital number, since it uses as much as digits as its factorization.

3829920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3829920000 is about 61886.3474443273. The cubic root of 3829920000 is about 1564.5756521134.

The spelling of 3829920000 in words is "three billion, eight hundred twenty-nine million, nine hundred twenty thousand".