342720000 has 600 divisors, whose sum is σ = 1495658736. Its totient is φ = 73728000.

The previous prime is 342719981. The next prime is 342720013. The reversal of 342720000 is 27243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20159992 + ... + 20160008.

Almost surely, 2^342720000 is an apocalyptic number.

342720000 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 342720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747829368).

342720000 is an abundant number, since it is smaller than the sum of its proper divisors (1152938736).

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

342720000 is an equidigital number, since it uses as much as digits as its factorization.

342720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 342720000 is about 18512.6983446498. The cubic root of 342720000 is about 699.8094719557.

Adding to 342720000 its reverse (27243), we get a palindrome (342747243).

The spelling of 342720000 in words is "three hundred forty-two million, seven hundred twenty thousand".