4308940800 has 360 divisors, whose sum is σ = 15974758800. Its totient is φ = 1147944960.

The previous prime is 4308940789. The next prime is 4308940807. The reversal of 4308940800 is 80498034.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4308940807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146681 + ... + 4147719.

It is an arithmetic number, because the mean of its divisors is an integer number (44374330).

Almost surely, 2^4308940800 is an apocalyptic number.

4308940800 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 4308940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987379400).

4308940800 is an abundant number, since it is smaller than the sum of its proper divisors (11665818000).

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

4308940800 is a wasteful number, since it uses less digits than its factorization.

4308940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4308940800 is about 65642.5228034389. The cubic root of 4308940800 is about 1627.2596005005.

The spelling of 4308940800 in words is "four billion, three hundred eight million, nine hundred forty thousand, eight hundred".