342148800 has 336 divisors, whose sum is σ = 1360627200. Its totient is φ = 73482240.

The previous prime is 342148777. The next prime is 342148801. The reversal of 342148800 is 8841243.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (342148801) 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 47 ways as a sum of consecutive naturals, for example, 570901 + ... + 571499.

Almost surely, 2^342148800 is an apocalyptic number.

342148800 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 342148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

342148800 is an abundant number, since it is smaller than the sum of its proper divisors (1018478400).

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

342148800 is a wasteful number, since it uses less digits than its factorization.

342148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 342148800 is about 18497.2646626467. The cubic root of 342148800 is about 699.4204727250.

The spelling of 342148800 in words is "three hundred forty-two million, one hundred forty-eight thousand, eight hundred".