4323968000 has 352 divisors, whose sum is σ = 12231692928. Its totient is φ = 1511424000.

The previous prime is 4323967951. The next prime is 4323968017. The reversal of 4323968000 is 8693234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

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, 52095959 + ... + 52096041.

Almost surely, 2^4323968000 is an apocalyptic number.

4323968000 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 4323968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115846464).

4323968000 is an abundant number, since it is smaller than the sum of its proper divisors (7907724928).

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

4323968000 is a wasteful number, since it uses less digits than its factorization.

4323968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 4323968000 is about 65756.8855710183. The cubic root of 4323968000 is about 1629.1490659317.

The spelling of 4323968000 in words is "four billion, three hundred twenty-three million, nine hundred sixty-eight thousand".