4340328960 has 320 divisors, whose sum is σ = 15344017920. Its totient is φ = 1037844480.

The previous prime is 4340328959. The next prime is 4340328989. The reversal of 4340328960 is 698230434.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7011531 + ... + 7012149.

It is an arithmetic number, because the mean of its divisors is an integer number (47950056).

Almost surely, 2^4340328960 is an apocalyptic number.

4340328960 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 4340328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672008960).

4340328960 is an abundant number, since it is smaller than the sum of its proper divisors (11003688960).

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

4340328960 is a wasteful number, since it uses less digits than its factorization.

4340328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 4340328960 is about 65881.1730314511. The cubic root of 4340328960 is about 1631.2012623538.

The spelling of 4340328960 in words is "four billion, three hundred forty million, three hundred twenty-eight thousand, nine hundred sixty".