342918441000 has 1152 divisors, whose sum is σ = 1349290051200. Its totient is φ = 81218764800.

The previous prime is 342918440929. The next prime is 342918441023. The reversal of 342918441000 is 144819243.

It is a happy number.

It is a super-3 number, since 3×342918441000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1334312872 + ... + 1334313128.

It is an arithmetic number, because the mean of its divisors is an integer number (1171258725).

Almost surely, 2^342918441000 is an apocalyptic number.

342918441000 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 342918441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674645025600).

342918441000 is an abundant number, since it is smaller than the sum of its proper divisors (1006371610200).

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

342918441000 is a wasteful number, since it uses less digits than its factorization.

342918441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 342918441000 in words is "three hundred forty-two billion, nine hundred eighteen million, four hundred forty-one thousand".