4344064164 has 288 divisors, whose sum is σ = 13376563200. Its totient is φ = 1173553920.

The previous prime is 4344064163. The next prime is 4344064201. The reversal of 4344064164 is 4614604434.

4344064164 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 641 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4344064163) 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 95 ways as a sum of consecutive naturals, for example, 9382197 + ... + 9382659.

It is an arithmetic number, because the mean of its divisors is an integer number (46446400).

Almost surely, 2^4344064164 is an apocalyptic number.

4344064164 is a gapful number since it is divisible by the number (44) 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 4344064164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688281600).

4344064164 is an abundant number, since it is smaller than the sum of its proper divisors (9032499036).

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

4344064164 is a wasteful number, since it uses less digits than its factorization.

4344064164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4344064164 is about 65909.5149731812. The cubic root of 4344064164 is about 1631.6690550464.

Adding to 4344064164 its reverse (4614604434), we get a palindrome (8958668598).

The spelling of 4344064164 in words is "four billion, three hundred forty-four million, sixty-four thousand, one hundred sixty-four".