3979819008 has 288 divisors, whose sum is σ = 13021706880. Its totient is φ = 1204346880.

The previous prime is 3979819003. The next prime is 3979819079. The reversal of 3979819008 is 8009189793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979819003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5473941 + ... + 5474667.

It is an arithmetic number, because the mean of its divisors is an integer number (45214260).

Almost surely, 2^3979819008 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 3979819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510853440).

3979819008 is an abundant number, since it is smaller than the sum of its proper divisors (9041887872).

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

3979819008 is an equidigital number, since it uses as much as digits as its factorization.

3979819008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 3979819008 is about 63085.8067080068. The cubic root of 3979819008 is about 1584.7269390649.

The spelling of 3979819008 in words is "three billion, nine hundred seventy-nine million, eight hundred nineteen thousand, eight".