342092800 has 264 divisors, whose sum is σ = 1023434496. Its totient is φ = 110837760.

The previous prime is 342092791. The next prime is 342092801. The reversal of 342092800 is 8290243.

342092800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342092801) 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 23 ways as a sum of consecutive naturals, for example, 4121559 + ... + 4121641.

Almost surely, 2^342092800 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 342092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511717248).

342092800 is an abundant number, since it is smaller than the sum of its proper divisors (681341696).

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

342092800 is a wasteful number, since it uses less digits than its factorization.

342092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 342092800 is about 18495.7508633740. The cubic root of 342092800 is about 699.3823122487.

The spelling of 342092800 in words is "three hundred forty-two million, ninety-two thousand, eight hundred".