340243782768 has 240 divisors, whose sum is σ = 1012947167232. Its totient is φ = 110496960000.

The previous prime is 340243782761. The next prime is 340243782779. The reversal of 340243782768 is 867287342043.

It is a happy number.

340243782768 is a `hidden beast` number, since 340 + 24 + 3 + 7 + 8 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340243782761) 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, 231300273 + ... + 231301743.

Almost surely, 2^340243782768 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 340243782768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506473583616).

340243782768 is an abundant number, since it is smaller than the sum of its proper divisors (672703384464).

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

340243782768 is a wasteful number, since it uses less digits than its factorization.

340243782768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 340243782768 in words is "three hundred forty billion, two hundred forty-three million, seven hundred eighty-two thousand, seven hundred sixty-eight".