342213141600 has 1440 divisors, whose sum is σ = 1489656655872. Its totient is φ = 75479040000.

The previous prime is 342213141559. The next prime is 342213141607. The reversal of 342213141600 is 6141312243.

It is a happy number.

342213141600 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 13 + 1 + 41 + 600 = 666.

342213141600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342213141607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 375645145 + ... + 375646055.

Almost surely, 2^342213141600 is an apocalyptic number.

342213141600 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 342213141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744828327936).

342213141600 is an abundant number, since it is smaller than the sum of its proper divisors (1147443514272).

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

342213141600 is a wasteful number, since it uses less digits than its factorization.

342213141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 342213141600 its reverse (6141312243), we get a palindrome (348354453843).

The spelling of 342213141600 in words is "three hundred forty-two billion, two hundred thirteen million, one hundred forty-one thousand, six hundred".