342432000 has 432 divisors, whose sum is σ = 1305748080. Its totient is φ = 86016000.

The previous prime is 342431951. The next prime is 342432007. The reversal of 342432000 is 234243.

342432000 is a `hidden beast` number, since 342 + 4 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 201867264 + 140564736 = 14208^2 + 11856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (342432007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8351980 + ... + 8352020.

It is an arithmetic number, because the mean of its divisors is an integer number (3022565).

Almost surely, 2^342432000 is an apocalyptic number.

342432000 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 342432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652874040).

342432000 is an abundant number, since it is smaller than the sum of its proper divisors (963316080).

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

342432000 is a wasteful number, since it uses less digits than its factorization.

342432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 342432000 is about 18504.9182651532. The cubic root of 342432000 is about 699.6133919589.

Adding to 342432000 its reverse (234243), we get a palindrome (342666243).

The spelling of 342432000 in words is "three hundred forty-two million, four hundred thirty-two thousand".