340243103200 has 1728 divisors, whose sum is σ = 1235170944000. Its totient is φ = 90407116800.

The previous prime is 340243103153. The next prime is 340243103209. The reversal of 340243103200 is 2301342043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340243103209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11732520786 + ... + 11732520814.

It is an arithmetic number, because the mean of its divisors is an integer number (714798000).

Almost surely, 2^340243103200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340243103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617585472000).

340243103200 is an abundant number, since it is smaller than the sum of its proper divisors (894927840800).

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

340243103200 is a wasteful number, since it uses less digits than its factorization.

340243103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 340243103200 its reverse (2301342043), we get a palindrome (342544445243).

The spelling of 340243103200 in words is "three hundred forty billion, two hundred forty-three million, one hundred three thousand, two hundred".