343740096 has 252 divisors, whose sum is σ = 1208333880. Its totient is φ = 92897280.

The previous prime is 343740079. The next prime is 343740097. The reversal of 343740096 is 690047343.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 343740096.

It is not an unprimeable number, because it can be changed into a prime (343740097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535936 + ... + 536576.

Almost surely, 2^343740096 is an apocalyptic number.

343740096 is a gapful number since it is divisible by the number (36) 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 343740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604166940).

343740096 is an abundant number, since it is smaller than the sum of its proper divisors (864593784).

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

343740096 is a wasteful number, since it uses less digits than its factorization.

343740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 343740096 is about 18540.2291247978. The cubic root of 343740096 is about 700.5031049877.

The spelling of 343740096 in words is "three hundred forty-three million, seven hundred forty thousand, ninety-six".