342345830400 has 1872 divisors, whose sum is σ = 1547902416000. Its totient is φ = 74132029440.

The previous prime is 342345830399. The next prime is 342345830441. The reversal of 342345830400 is 4038543243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

342345830400 is a `hidden beast` number, since 3 + 4 + 2 + 34 + 583 + 0 + 40 + 0 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 18018201591 + ... + 18018201609.

Almost surely, 2^342345830400 is an apocalyptic number.

342345830400 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 342345830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773951208000).

342345830400 is an abundant number, since it is smaller than the sum of its proper divisors (1205556585600).

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

342345830400 is an equidigital number, since it uses as much as digits as its factorization.

342345830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 342345830400 in words is "three hundred forty-two billion, three hundred forty-five million, eight hundred thirty thousand, four hundred".