342105603840 has 3456 divisors, whose sum is σ = 1753771622400. Its totient is φ = 61312204800.

The previous prime is 342105603839. The next prime is 342105603887. The reversal of 342105603840 is 48306501243.

342105603840 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 0 + 5 + 603 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342105603795 and 342105603804.

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 383 ways as a sum of consecutive naturals, for example, 11035664625 + ... + 11035664655.

Almost surely, 2^342105603840 is an apocalyptic number.

342105603840 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 342105603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876885811200).

342105603840 is an abundant number, since it is smaller than the sum of its proper divisors (1411666018560).

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

342105603840 is a wasteful number, since it uses less digits than its factorization.

342105603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 342105603840 in words is "three hundred forty-two billion, one hundred five million, six hundred three thousand, eight hundred forty".