343984968 has 192 divisors, whose sum is σ = 1039584000. Its totient is φ = 106235712.

The previous prime is 343984913. The next prime is 343984973. The reversal of 343984968 is 869489343.

It is a happy number.

It is a super-2 number, since 2×343984968² = 236651316419922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 2474643 + ... + 2474781.

It is an arithmetic number, because the mean of its divisors is an integer number (5414500).

Almost surely, 2^343984968 is an apocalyptic number.

343984968 is a gapful number since it is divisible by the number (38) 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 343984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519792000).

343984968 is an abundant number, since it is smaller than the sum of its proper divisors (695599032).

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

343984968 is a wasteful number, since it uses less digits than its factorization.

343984968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 343984968 is about 18546.8317510026. The cubic root of 343984968 is about 700.6694059055.

The spelling of 343984968 in words is "three hundred forty-three million, nine hundred eighty-four thousand, nine hundred sixty-eight".