342325000512000 has 3840 divisors, whose sum is σ = 1481774610640896. Its totient is φ = 74990223360000.

The previous prime is 342325000511993. The next prime is 342325000512029. The reversal of 342325000512000 is 215000523243.

It is a happy number.

342325000512000 is a `hidden beast` number, since 3 + 4 + 2 + 32 + 500 + 0 + 5 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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, 524234303674 + ... + 524234304326.

Almost surely, 2^{342325000512000} is an apocalyptic number.

342325000512000 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 342325000512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740887305320448).

342325000512000 is an abundant number, since it is smaller than the sum of its proper divisors (1139449610128896).

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

342325000512000 is a wasteful number, since it uses less digits than its factorization.

342325000512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 342325000512000 in words is "three hundred forty-two trillion, three hundred twenty-five billion, five hundred twelve thousand".