340314000000 has 448 divisors, whose sum is σ = 1217131295520. Its totient is φ = 83750400000.

The previous prime is 340313999957. The next prime is 340314000007. The reversal of 340314000000 is 413043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (340314000007) 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 55 ways as a sum of consecutive naturals, for example, 77997819 + ... + 78002181.

Almost surely, 2^340314000000 is an apocalyptic number.

340314000000 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 340314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608565647760).

340314000000 is an abundant number, since it is smaller than the sum of its proper divisors (876817295520).

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

340314000000 is an frugal number, since it uses more digits than its factorization.

340314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 340314000000 its reverse (413043), we get a palindrome (340314413043).

The spelling of 340314000000 in words is "three hundred forty billion, three hundred fourteen million", and thus it is an aban number.