342550656000 has 1056 divisors, whose sum is σ = 1427521335552. Its totient is φ = 77370163200.

The previous prime is 342550655999. The next prime is 342550656037. The reversal of 342550656000 is 656055243.

It is a happy number.

342550656000 is a `hidden beast` number, since 3 + 42 + 5 + 5 + 0 + 6 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862847802 + ... + 862848198.

Almost surely, 2^342550656000 is an apocalyptic number.

342550656000 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 342550656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713760667776).

342550656000 is an abundant number, since it is smaller than the sum of its proper divisors (1084970679552).

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

342550656000 is a wasteful number, since it uses less digits than its factorization.

342550656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 342550656000 in words is "three hundred forty-two billion, five hundred fifty million, six hundred fifty-six thousand".