342505344000 has 352 divisors, whose sum is σ = 1144337717952. Its totient is φ = 90931200000.

The previous prime is 342505343933. The next prime is 342505344019. The reversal of 342505344000 is 443505243.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 92542150 + ... + 92545850.

It is an arithmetic number, because the mean of its divisors is an integer number (3250959426).

Almost surely, 2^342505344000 is an apocalyptic number.

342505344000 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 342505344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572168858976).

342505344000 is an abundant number, since it is smaller than the sum of its proper divisors (801832373952).

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

342505344000 is a wasteful number, since it uses less digits than its factorization.

342505344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 342505344000 its reverse (443505243), we get a palindrome (342948849243).

The spelling of 342505344000 in words is "three hundred forty-two billion, five hundred five million, three hundred forty-four thousand".