342240000 has 360 divisors, whose sum is σ = 1226007552. Its totient is φ = 84480000.

The previous prime is 342239999. The next prime is 342240007. The reversal of 342240000 is 42243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342240007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11039985 + ... + 11040015.

Almost surely, 2^342240000 is an apocalyptic number.

342240000 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 342240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613003776).

342240000 is an abundant number, since it is smaller than the sum of its proper divisors (883767552).

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

342240000 is an equidigital number, since it uses as much as digits as its factorization.

342240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 342240000 is about 18499.7297277555. The cubic root of 342240000 is about 699.4826108751.

Adding to 342240000 its reverse (42243), we get a palindrome (342282243).

The spelling of 342240000 in words is "three hundred forty-two million, two hundred forty thousand".