343502968688640 has 1248 divisors, whose sum is σ = 1247488723353600. Its totient is φ = 87323124695040.

The previous prime is 343502968688639. The next prime is 343502968688749. The reversal of 343502968688640 is 46886869205343.

343502968688640 is a `hidden beast` number, since 3 + 435 + 0 + 2 + 96 + 8 + 68 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378724331067 + ... + 378724331973.

It is an arithmetic number, because the mean of its divisors is an integer number (999590323200).

Almost surely, 2^{343502968688640} is an apocalyptic number.

343502968688640 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 343502968688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623744361676800).

343502968688640 is an abundant number, since it is smaller than the sum of its proper divisors (903985754664960).

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

343502968688640 is a wasteful number, since it uses less digits than its factorization.

343502968688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 343502968688640 in words is "three hundred forty-three trillion, five hundred two billion, nine hundred sixty-eight million, six hundred eighty-eight thousand, six hundred forty".