343484960832 has 560 divisors, whose sum is σ = 1185909500160. Its totient is φ = 97339097088.

The previous prime is 343484960831. The next prime is 343484960867. The reversal of 343484960832 is 238069484343.

343484960832 is a `hidden beast` number, since 3 + 43 + 484 + 96 + 0 + 8 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (343484960831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53843019 + ... + 53849397.

It is an arithmetic number, because the mean of its divisors is an integer number (2117695536).

Almost surely, 2^343484960832 is an apocalyptic number.

343484960832 is a gapful number since it is divisible by the number (32) 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 343484960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592954750080).

343484960832 is an abundant number, since it is smaller than the sum of its proper divisors (842424539328).

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

343484960832 is a wasteful number, since it uses less digits than its factorization.

343484960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 343484960832 in words is "three hundred forty-three billion, four hundred eighty-four million, nine hundred sixty thousand, eight hundred thirty-two".