342025200 has 240 divisors, whose sum is σ = 1328486400. Its totient is φ = 82886400.

The previous prime is 342025181. The next prime is 342025223. The reversal of 342025200 is 2520243.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117361 + ... + 120239.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2^342025200 is an apocalyptic number.

342025200 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 342025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664243200).

342025200 is an abundant number, since it is smaller than the sum of its proper divisors (986461200).

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

342025200 is a wasteful number, since it uses less digits than its factorization.

342025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 342025200 is about 18493.9233263253. The cubic root of 342025200 is about 699.3362415540.

Adding to 342025200 its reverse (2520243), we get a palindrome (344545443).

It can be divided in two parts, 342025 and 200, that added together give a square (342225 = 585²).

The spelling of 342025200 in words is "three hundred forty-two million, twenty-five thousand, two hundred".