4344211872 has 384 divisors, whose sum is σ = 17015685120. Its totient is φ = 1041361920.

The previous prime is 4344211801. The next prime is 4344211873. The reversal of 4344211872 is 2781124434.

4344211872 is a `hidden beast` number, since 434 + 4 + 211 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (4344211873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862353 + ... + 867375.

It is an arithmetic number, because the mean of its divisors is an integer number (44311680).

Almost surely, 2^4344211872 is an apocalyptic number.

4344211872 is a gapful number since it is divisible by the number (42) 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 4344211872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507842560).

4344211872 is an abundant number, since it is smaller than the sum of its proper divisors (12671473248).

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

4344211872 is a wasteful number, since it uses less digits than its factorization.

4344211872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5059 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4344211872 is about 65910.6354998949. The cubic root of 4344211872 is about 1631.6875483154.

The spelling of 4344211872 in words is "four billion, three hundred forty-four million, two hundred eleven thousand, eight hundred seventy-two".