340346116800 has 504 divisors, whose sum is σ = 1244361605760. Its totient is φ = 88175001600.

The previous prime is 340346116771. The next prime is 340346116813. The reversal of 340346116800 is 8611643043.

It is a happy number.

340346116800 is a `hidden beast` number, since 3 + 4 + 0 + 34 + 611 + 6 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158816529 + ... + 158818671.

It is an arithmetic number, because the mean of its divisors is an integer number (2468971440).

Almost surely, 2^340346116800 is an apocalyptic number.

340346116800 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 340346116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622180802880).

340346116800 is an abundant number, since it is smaller than the sum of its proper divisors (904015488960).

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

340346116800 is a wasteful number, since it uses less digits than its factorization.

340346116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 340346116800 its reverse (8611643043), we get a palindrome (348957759843).

The spelling of 340346116800 in words is "three hundred forty billion, three hundred forty-six million, one hundred sixteen thousand, eight hundred".