342316800 has 432 divisors, whose sum is σ = 1439630080. Its totient is φ = 77967360.

The previous prime is 342316781. The next prime is 342316813. The reversal of 342316800 is 8613243.

It is a happy number.

342316800 is a `hidden beast` number, since 342 + 316 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 1209459 + ... + 1209741.

Almost surely, 2^342316800 is an apocalyptic number.

342316800 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 342316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719815040).

342316800 is an abundant number, since it is smaller than the sum of its proper divisors (1097313280).

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

342316800 is a wasteful number, since it uses less digits than its factorization.

342316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 342316800 is about 18501.8053173197. The cubic root of 342316800 is about 699.5349291767.

The spelling of 342316800 in words is "three hundred forty-two million, three hundred sixteen thousand, eight hundred".