343313457840 has 480 divisors, whose sum is σ = 1283844257280. Its totient is φ = 81818947584.

The previous prime is 343313457793. The next prime is 343313457841. The reversal of 343313457840 is 48754313343.

343313457840 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 1 + 34 + 578 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (343313457841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22961247 + ... + 22976193.

It is an arithmetic number, because the mean of its divisors is an integer number (2674675536).

Almost surely, 2^343313457840 is an apocalyptic number.

343313457840 is a gapful number since it is divisible by the number (30) 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 343313457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641922128640).

343313457840 is an abundant number, since it is smaller than the sum of its proper divisors (940530799440).

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

343313457840 is a wasteful number, since it uses less digits than its factorization.

343313457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15081 (or 15072 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 343313457840 in words is "three hundred forty-three billion, three hundred thirteen million, four hundred fifty-seven thousand, eight hundred forty".