342211060800 has 1512 divisors, whose sum is σ = 1532501627904. Its totient is φ = 71933460480.

The previous prime is 342211060769. The next prime is 342211060813. The reversal of 342211060800 is 8060112243.

342211060800 is a `hidden beast` number, since 3 + 42 + 2 + 1 + 10 + 608 + 0 + 0 = 666.

It is a super-2 number, since 2×342211060800² (a number of 24 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 563774097 + ... + 563774703.

Almost surely, 2^342211060800 is an apocalyptic number.

342211060800 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 342211060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766250813952).

342211060800 is an abundant number, since it is smaller than the sum of its proper divisors (1190290567104).

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

342211060800 is a wasteful number, since it uses less digits than its factorization.

342211060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 342211060800 in words is "three hundred forty-two billion, two hundred eleven million, sixty thousand, eight hundred".