4340828160 has 576 divisors, whose sum is σ = 16507108800. Its totient is φ = 1051066368.

The previous prime is 4340828119. The next prime is 4340828171. The reversal of 4340828160 is 618280434.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4340828160² = 37685578229297971200, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64788447 + ... + 64788513.

It is an arithmetic number, because the mean of its divisors is an integer number (28658175).

Almost surely, 2^4340828160 is an apocalyptic number.

4340828160 is a gapful number since it is divisible by the number (40) 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 4340828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253554400).

4340828160 is an abundant number, since it is smaller than the sum of its proper divisors (12166280640).

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

4340828160 is a wasteful number, since it uses less digits than its factorization.

4340828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4340828160 is about 65884.9615618010. The cubic root of 4340828160 is about 1631.2637971264.

The spelling of 4340828160 in words is "four billion, three hundred forty million, eight hundred twenty-eight thousand, one hundred sixty".