3879744000 has 480 divisors, whose sum is σ = 14263337088. Its totient is φ = 934912000.

The previous prime is 3879743993. The next prime is 3879744013. The reversal of 3879744000 is 4479783.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23231917 + ... + 23232083.

Almost surely, 2^3879744000 is an apocalyptic number.

3879744000 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 3879744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131668544).

3879744000 is an abundant number, since it is smaller than the sum of its proper divisors (10383593088).

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

3879744000 is a wasteful number, since it uses less digits than its factorization.

3879744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3879744000 is about 62287.5910595361. The cubic root of 3879744000 is about 1571.3310415660.

The spelling of 3879744000 in words is "three billion, eight hundred seventy-nine million, seven hundred forty-four thousand".