340243168800 has 288 divisors, whose sum is σ = 1173628008000. Its totient is φ = 85377576960.

The previous prime is 340243168751. The next prime is 340243168807. The reversal of 340243168800 is 8861342043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340243168807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6769362 + ... + 6819438.

It is an arithmetic number, because the mean of its divisors is an integer number (4075097250).

Almost surely, 2^340243168800 is an apocalyptic number.

340243168800 is a gapful number since it is divisible by the number (30) 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 340243168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586814004000).

340243168800 is an abundant number, since it is smaller than the sum of its proper divisors (833384839200).

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

340243168800 is a wasteful number, since it uses less digits than its factorization.

340243168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50268 (or 50255 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 340243168800 in words is "three hundred forty billion, two hundred forty-three million, one hundred sixty-eight thousand, eight hundred".