342108000 has 576 divisors, whose sum is σ = 1416647232. Its totient is φ = 77414400.

The previous prime is 342107993. The next prime is 342108007. The reversal of 342108000 is 801243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342107993) and next prime (342108007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342108007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7955979 + ... + 7956021.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 2^342108000 is an apocalyptic number.

342108000 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 342108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708323616).

342108000 is an abundant number, since it is smaller than the sum of its proper divisors (1074539232).

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

342108000 is a wasteful number, since it uses less digits than its factorization.

342108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 342108000 is about 18496.1617639985. The cubic root of 342108000 is about 699.3926705040.

Adding to 342108000 its reverse (801243), we get a palindrome (342909243).

The spelling of 342108000 in words is "three hundred forty-two million, one hundred eight thousand".