342985200 has 360 divisors, whose sum is σ = 1246194048. Its totient is φ = 80424960.

The previous prime is 342985199. The next prime is 342985211. The reversal of 342985200 is 2589243.

It is a happy number.

342985200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 7976379 + ... + 7976421.

Almost surely, 2^342985200 is an apocalyptic number.

342985200 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 342985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623097024).

342985200 is an abundant number, since it is smaller than the sum of its proper divisors (903208848).

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

342985200 is a wasteful number, since it uses less digits than its factorization.

342985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 342985200 is about 18519.8596106990. The cubic root of 342985200 is about 699.9899318280.

The spelling of 342985200 in words is "three hundred forty-two million, nine hundred eighty-five thousand, two hundred".