342895344960 has 448 divisors, whose sum is σ = 1293093273600. Its totient is φ = 75331952640.

The previous prime is 342895344889. The next prime is 342895344973. The reversal of 342895344960 is 69443598243.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 342895344960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31034157 + ... + 31045203.

Almost surely, 2^342895344960 is an apocalyptic number.

342895344960 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 342895344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646546636800).

342895344960 is an abundant number, since it is smaller than the sum of its proper divisors (950197928640).

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

342895344960 is a wasteful number, since it uses less digits than its factorization.

342895344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11254 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 342895344960 in words is "three hundred forty-two billion, eight hundred ninety-five million, three hundred forty-four thousand, nine hundred sixty".