342295200 has 576 divisors, whose sum is σ = 1417409280. Its totient is φ = 79073280.

The previous prime is 342295171. The next prime is 342295201. The reversal of 342295200 is 2592243.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342295201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6458374 + ... + 6458426.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^342295200 is an apocalyptic number.

342295200 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 342295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

342295200 is an abundant number, since it is smaller than the sum of its proper divisors (1075114080).

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

342295200 is a wasteful number, since it uses less digits than its factorization.

342295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 342295200 is about 18501.2215812902. The cubic root of 342295200 is about 699.5202154454.

The spelling of 342295200 in words is "three hundred forty-two million, two hundred ninety-five thousand, two hundred".