342241200 has 360 divisors, whose sum is σ = 1410409728. Its totient is φ = 78071040.

The previous prime is 342241199. The next prime is 342241217. The reversal of 342241200 is 2142243.

342241200 is a `hidden beast` number, since 3 + 422 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 680149 + ... + 680651.

Almost surely, 2^342241200 is an apocalyptic number.

342241200 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 342241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705204864).

342241200 is an abundant number, since it is smaller than the sum of its proper divisors (1068168528).

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

342241200 is a wasteful number, since it uses less digits than its factorization.

342241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342241200 is about 18499.7621606333. The cubic root of 342241200 is about 699.4834284087.

Adding to 342241200 its reverse (2142243), we get a palindrome (344383443).

The spelling of 342241200 in words is "three hundred forty-two million, two hundred forty-one thousand, two hundred".