343872654720 has 768 divisors, whose sum is σ = 1329164121600. Its totient is φ = 75332812800.

The previous prime is 343872654641. The next prime is 343872654751. The reversal of 343872654720 is 27456278343.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 227578765 + ... + 227580275.

It is an arithmetic number, because the mean of its divisors is an integer number (1730682450).

Almost surely, 2^343872654720 is an apocalyptic number.

343872654720 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 343872654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664582060800).

343872654720 is an abundant number, since it is smaller than the sum of its proper divisors (985291466880).

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

343872654720 is a wasteful number, since it uses less digits than its factorization.

343872654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 343872654720 in words is "three hundred forty-three billion, eight hundred seventy-two million, six hundred fifty-four thousand, seven hundred twenty".