343116864 has 224 divisors, whose sum is σ = 1075334400. Its totient is φ = 107089920.

The previous prime is 343116857. The next prime is 343116871. The reversal of 343116864 is 468611343.

It is a happy number.

343116864 is a `hidden beast` number, since 3 + 431 + 168 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (343116857) and next prime (343116871).

It is a super-2 number, since 2×343116864² = 235458364722388992, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054509 + ... + 2054675.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^343116864 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 343116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537667200).

343116864 is an abundant number, since it is smaller than the sum of its proper divisors (732217536).

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

343116864 is a wasteful number, since it uses less digits than its factorization.

343116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 343116864 is about 18523.4139402001. The cubic root of 343116864 is about 700.0794902927.

The spelling of 343116864 in words is "three hundred forty-three million, one hundred sixteen thousand, eight hundred sixty-four".