3839376000 has 128 divisors (see below), whose sum is σ = 12727690560. Its totient is φ = 1023820800.

The previous prime is 3839375977. The next prime is 3839376011. The reversal of 3839376000 is 6739383.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3839376000.

It is an unprimeable number.

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, 8007 + ... + 87993.

Almost surely, 2^3839376000 is an apocalyptic number.

3839376000 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 3839376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363845280).

3839376000 is an abundant number, since it is smaller than the sum of its proper divisors (8888314560).

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

3839376000 is an equidigital number, since it uses as much as digits as its factorization.

3839376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80019 (or 79997 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3839376000 is about 61962.6984564100. The cubic root of 3839376000 is about 1565.8622297404.

The spelling of 3839376000 in words is "three billion, eight hundred thirty-nine million, three hundred seventy-six thousand".