3879219200 has 156 divisors (see below), whose sum is σ = 9854166168. Its totient is φ = 1513881600.

The previous prime is 3879219199. The next prime is 3879219209. The reversal of 3879219200 is 29129783.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3879219209) 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 11 ways as a sum of consecutive naturals, for example, 4402760 + ... + 4403640.

Almost surely, 2^3879219200 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 3879219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927083084).

3879219200 is an abundant number, since it is smaller than the sum of its proper divisors (5974946968).

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

3879219200 is an equidigital number, since it uses as much as digits as its factorization.

3879219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 3879219200 is about 62283.3781999660. The cubic root of 3879219200 is about 1571.2601888057.

The spelling of 3879219200 in words is "three billion, eight hundred seventy-nine million, two hundred nineteen thousand, two hundred".