342046704273120 has 768 divisors, whose sum is σ = 1504902881986560. Its totient is φ = 71074631485440.

The previous prime is 342046704273083. The next prime is 342046704273167. The reversal of 342046704273120 is 21372407640243.

342046704273120 is a `hidden beast` number, since 3 + 4 + 20 + 467 + 0 + 42 + 7 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36000354 + ... + 44498526.

It is an arithmetic number, because the mean of its divisors is an integer number (1959508960920).

Almost surely, 2^{342046704273120} is an apocalyptic number.

342046704273120 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 342046704273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752451440993280).

342046704273120 is an abundant number, since it is smaller than the sum of its proper divisors (1162856177713440).

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

342046704273120 is a wasteful number, since it uses less digits than its factorization.

342046704273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498237 (or 8498201 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 342046704273120 in words is "three hundred forty-two trillion, forty-six billion, seven hundred four million, two hundred seventy-three thousand, one hundred twenty".