342215180800 has 120 divisors (see below), whose sum is σ = 848463302016. Its totient is φ = 136789463040.

The previous prime is 342215180789. The next prime is 342215180809. The reversal of 342215180800 is 8081512243.

It is a happy number.

It is a super-2 number, since 2×342215180800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342215180809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19741737 + ... + 19759063.

Almost surely, 2^342215180800 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 342215180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424231651008).

342215180800 is an abundant number, since it is smaller than the sum of its proper divisors (506248121216).

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

342215180800 is a wasteful number, since it uses less digits than its factorization.

342215180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18898 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 342215180800 in words is "three hundred forty-two billion, two hundred fifteen million, one hundred eighty thousand, eight hundred".