343200000000 has 864 divisors, whose sum is σ = 1343671187040. Its totient is φ = 76800000000.

The previous prime is 343199999969. The next prime is 343200000023. The reversal of 343200000000 is 2343.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 26399999994 + ... + 26400000006.

It is an arithmetic number, because the mean of its divisors is an integer number (1555174985).

Almost surely, 2^343200000000 is an apocalyptic number.

343200000000 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 343200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671835593520).

343200000000 is an abundant number, since it is smaller than the sum of its proper divisors (1000471187040).

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

343200000000 is an frugal number, since it uses more digits than its factorization.

343200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 343200000000 its reverse (2343), we get a palindrome (343200002343).

It can be divided in two parts, 3 and 43200000000, that multiplied together give a 4-th power (129600000000 = 600⁴).

The spelling of 343200000000 in words is "three hundred forty-three billion, two hundred million", and thus it is an aban number.