342775200 has 144 divisors (see below), whose sum is σ = 1174612320. Its totient is φ = 86584320.

The previous prime is 342775189. The next prime is 342775229. The reversal of 342775200 is 2577243.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 41842 + ... + 49358.

It is an arithmetic number, because the mean of its divisors is an integer number (8157030).

Almost surely, 2^342775200 is an apocalyptic number.

342775200 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 342775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587306160).

342775200 is an abundant number, since it is smaller than the sum of its proper divisors (831837120).

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

342775200 is a wasteful number, since it uses less digits than its factorization.

342775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 342775200 is about 18514.1891531873. The cubic root of 342775200 is about 699.8470414090.

The spelling of 342775200 in words is "three hundred forty-two million, seven hundred seventy-five thousand, two hundred".