3859779072 has 80 divisors (see below), whose sum is σ = 10522005120. Its totient is φ = 1256650752.

The previous prime is 3859779071. The next prime is 3859779083. The reversal of 3859779072 is 2709779583.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859779071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36829 + ... + 95267.

It is an arithmetic number, because the mean of its divisors is an integer number (131525064).

Almost surely, 2^3859779072 is an apocalyptic number.

3859779072 is a gapful number since it is divisible by the number (32) 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 3859779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261002560).

3859779072 is an abundant number, since it is smaller than the sum of its proper divisors (6662226048).

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

3859779072 is an equidigital number, since it uses as much as digits as its factorization.

3859779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58503 (or 58487 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The square root of 3859779072 is about 62127.1202616056. The cubic root of 3859779072 is about 1568.6310801385.

The spelling of 3859779072 in words is "three billion, eight hundred fifty-nine million, seven hundred seventy-nine thousand, seventy-two".