342216000 has 504 divisors, whose sum is σ = 1438707816. Its totient is φ = 77414400.

The previous prime is 342215987. The next prime is 342216029. The reversal of 342216000 is 612243.

It is a happy number.

342216000 is a `hidden beast` number, since 3 + 42 + 21 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 323136576 = 4368^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×342216000² = 234223581312000000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527952 + ... + 3528048.

It is an arithmetic number, because the mean of its divisors is an integer number (2854579).

Almost surely, 2^342216000 is an apocalyptic number.

342216000 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 342216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719353908).

342216000 is an abundant number, since it is smaller than the sum of its proper divisors (1096491816).

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

342216000 is a wasteful number, since it uses less digits than its factorization.

342216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342216000 is about 18499.0810582580. The cubic root of 342216000 is about 699.4662598007.

Adding to 342216000 its reverse (612243), we get a palindrome (342828243).

The spelling of 342216000 in words is "three hundred forty-two million, two hundred sixteen thousand".