343131768 has 128 divisors (see below), whose sum is σ = 1095168000. Its totient is φ = 97511040.

The previous prime is 343131749. The next prime is 343131781. The reversal of 343131768 is 867131343.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345753 + ... + 346743.

It is an arithmetic number, because the mean of its divisors is an integer number (8556000).

Almost surely, 2^343131768 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 343131768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547584000).

343131768 is an abundant number, since it is smaller than the sum of its proper divisors (752036232).

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

343131768 is a wasteful number, since it uses less digits than its factorization.

343131768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 343131768 is about 18523.8162374820. The cubic root of 343131768 is about 700.0896266191.

The spelling of 343131768 in words is "three hundred forty-three million, one hundred thirty-one thousand, seven hundred sixty-eight".