342068800 has 84 divisors (see below), whose sum is σ = 845352640. Its totient is φ = 136235520.

The previous prime is 342068791. The next prime is 342068801. The reversal of 342068800 is 8860243.

It is a happy number.

It is a super-2 number, since 2×342068800² = 234022127866880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342068801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702157 + ... + 702643.

Almost surely, 2^342068800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422676320).

342068800 is an abundant number, since it is smaller than the sum of its proper divisors (503283840).

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

342068800 is a wasteful number, since it uses less digits than its factorization.

342068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 342068800 is about 18495.1020543278. The cubic root of 342068800 is about 699.3659564840.

The spelling of 342068800 in words is "three hundred forty-two million, sixty-eight thousand, eight hundred".