4386676896 has 144 divisors (see below), whose sum is σ = 14490822528. Its totient is φ = 1232755200.

The previous prime is 4386676891. The next prime is 4386676937. The reversal of 4386676896 is 6986766834.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4386676891) 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 23 ways as a sum of consecutive naturals, for example, 105141 + ... + 140811.

It is an arithmetic number, because the mean of its divisors is an integer number (100630712).

Almost surely, 2^4386676896 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 4386676896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245411264).

4386676896 is an abundant number, since it is smaller than the sum of its proper divisors (10104145632).

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

4386676896 is a wasteful number, since it uses less digits than its factorization.

4386676896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35755 (or 35744 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The square root of 4386676896 is about 66231.9929943226. The cubic root of 4386676896 is about 1636.9869444173.

The spelling of 4386676896 in words is "four billion, three hundred eighty-six million, six hundred seventy-six thousand, eight hundred ninety-six".