342041313600 has 1344 divisors, whose sum is σ = 1526926080000. Its totient is φ = 72738570240.

The previous prime is 342041313563. The next prime is 342041313613. The reversal of 342041313600 is 6313140243.

342041313600 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 41 + 3 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338989896 + ... + 338990904.

Almost surely, 2^342041313600 is an apocalyptic number.

342041313600 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 342041313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763463040000).

342041313600 is an abundant number, since it is smaller than the sum of its proper divisors (1184884766400).

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

342041313600 is a wasteful number, since it uses less digits than its factorization.

342041313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 342041313600 its reverse (6313140243), we get a palindrome (348354453843).

The spelling of 342041313600 in words is "three hundred forty-two billion, forty-one million, three hundred thirteen thousand, six hundred".