4343431680 has 640 divisors, whose sum is σ = 18101698560. Its totient is φ = 966574080.

The previous prime is 4343431657. The next prime is 4343431681. The reversal of 4343431680 is 861343434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 (4343431681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22740385 + ... + 22740575.

It is an arithmetic number, because the mean of its divisors is an integer number (28283904).

Almost surely, 2^4343431680 is an apocalyptic number.

4343431680 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 4343431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050849280).

4343431680 is an abundant number, since it is smaller than the sum of its proper divisors (13758266880).

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

4343431680 is a wasteful number, since it uses less digits than its factorization.

4343431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4343431680 is about 65904.7166749088. The cubic root of 4343431680 is about 1631.5898623349.

The spelling of 4343431680 in words is "four billion, three hundred forty-three million, four hundred thirty-one thousand, six hundred eighty".