340013312000 has 192 divisors, whose sum is σ = 852349417920. Its totient is φ = 135383040000.

The previous prime is 340013311933. The next prime is 340013312011. The reversal of 340013312000 is 213310043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 340013312000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58109075 + ... + 58114925.

It is an arithmetic number, because the mean of its divisors is an integer number (4439319885).

Almost surely, 2^340013312000 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 340013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426174708960).

340013312000 is an abundant number, since it is smaller than the sum of its proper divisors (512336105920).

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

340013312000 is an equidigital number, since it uses as much as digits as its factorization.

340013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 340013312000 its reverse (213310043), we get a palindrome (340226622043).

The spelling of 340013312000 in words is "three hundred forty billion, thirteen million, three hundred twelve thousand".