340340000000 has 1152 divisors, whose sum is σ = 1207234409472. Its totient is φ = 92160000000.

The previous prime is 340339999999. The next prime is 340340000041. The reversal of 340340000000 is 43043.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 340340000000.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 20019999992 + ... + 20020000008.

It is an arithmetic number, because the mean of its divisors is an integer number (1047946536).

Almost surely, 2^340340000000 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 340340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603617204736).

340340000000 is an abundant number, since it is smaller than the sum of its proper divisors (866894409472).

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

340340000000 is an frugal number, since it uses more digits than its factorization.

340340000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 340340000000 its reverse (43043), we get a palindrome (340340043043).

It can be divided in two parts, 340 and 340000000, that multiplied together give a square (115600000000 = 340000²).

The spelling of 340340000000 in words is "three hundred forty billion, three hundred forty million", and thus it is an aban number.