342358800 has 240 divisors, whose sum is σ = 1278668160. Its totient is φ = 76677120.

The previous prime is 342358799. The next prime is 342358813. The reversal of 342358800 is 8853243.

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

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, 444816 + ... + 445584.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^342358800 is an apocalyptic number.

342358800 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 342358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

342358800 is an abundant number, since it is smaller than the sum of its proper divisors (936309360).

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

342358800 is a wasteful number, since it uses less digits than its factorization.

342358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 342358800 is about 18502.9403068810. The cubic root of 342358800 is about 699.5635374381.

The spelling of 342358800 in words is "three hundred forty-two million, three hundred fifty-eight thousand, eight hundred".