343382519040 has 288 divisors, whose sum is σ = 1259346009600. Its totient is φ = 78862786560.

The previous prime is 343382519033. The next prime is 343382519057. The reversal of 343382519040 is 40915283343.

It is a junction number, because it is equal to n+sod(n) for n = 343382518983 and 343382519001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588631 + ... + 1016489.

It is an arithmetic number, because the mean of its divisors is an integer number (4372729200).

Almost surely, 2^343382519040 is an apocalyptic number.

343382519040 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 343382519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629673004800).

343382519040 is an abundant number, since it is smaller than the sum of its proper divisors (915963490560).

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

343382519040 is a wasteful number, since it uses less digits than its factorization.

343382519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427913 (or 427899 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 343382519040 in words is "three hundred forty-three billion, three hundred eighty-two million, five hundred nineteen thousand, forty".