3859124864 has 128 divisors (see below), whose sum is σ = 9181468800. Its totient is φ = 1581133824.

The previous prime is 3859124861. The next prime is 3859124879. The reversal of 3859124864 is 4684219583.

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

It is not an unprimeable number, because it can be changed into a prime (3859124861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1954982 + ... + 1956954.

It is an arithmetic number, because the mean of its divisors is an integer number (71730225).

Almost surely, 2^3859124864 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 3859124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590734400).

3859124864 is an abundant number, since it is smaller than the sum of its proper divisors (5322343936).

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

3859124864 is a wasteful number, since it uses less digits than its factorization.

3859124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2078 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 3859124864 is about 62121.8549626458. The cubic root of 3859124864 is about 1568.5424508011.

The spelling of 3859124864 in words is "three billion, eight hundred fifty-nine million, one hundred twenty-four thousand, eight hundred sixty-four".