3879079100 has 72 divisors (see below), whose sum is σ = 9076085760. Its totient is φ = 1430542080.

The previous prime is 3879079097. The next prime is 3879079103. The reversal of 3879079100 is 19709783.

It is an interprime number because it is at equal distance from previous prime (3879079097) and next prime (3879079103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3879079103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1661534 + ... + 1663866.

Almost surely, 2^3879079100 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 3879079100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538042880).

3879079100 is an abundant number, since it is smaller than the sum of its proper divisors (5197006660).

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

3879079100 is a wasteful number, since it uses less digits than its factorization.

3879079100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 44.

The square root of 3879079100 is about 62282.2534916649. The cubic root of 3879079100 is about 1571.2412729542.

The spelling of 3879079100 in words is "three billion, eight hundred seventy-nine million, seventy-nine thousand, one hundred".