342214021344 has 96 divisors (see below), whose sum is σ = 968146421760. Its totient is φ = 105216763392.

The previous prime is 342214021243. The next prime is 342214021399. The reversal of 342214021344 is 443120412243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×342214021344² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552777 + ... + 1759415.

It is an arithmetic number, because the mean of its divisors is an integer number (10084858560).

Almost surely, 2^342214021344 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 342214021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484073210880).

342214021344 is an abundant number, since it is smaller than the sum of its proper divisors (625932400416).

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

342214021344 is a wasteful number, since it uses less digits than its factorization.

342214021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207992 (or 207984 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 342214021344 its reverse (443120412243), we get a palindrome (785334433587).

The spelling of 342214021344 in words is "three hundred forty-two billion, two hundred fourteen million, twenty-one thousand, three hundred forty-four".