342180352800 has 1512 divisors, whose sum is σ = 1486530020052. Its totient is φ = 76366540800.

The previous prime is 342180352793. The next prime is 342180352817. The reversal of 342180352800 is 8253081243.

342180352800 is a `hidden beast` number, since 34 + 21 + 80 + 3 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70184725776 + 271995627024 = 264924^2 + 521532^2 .

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

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 251 ways as a sum of consecutive naturals, for example, 917373414 + ... + 917373786.

Almost surely, 2^342180352800 is an apocalyptic number.

342180352800 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 342180352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743265010026).

342180352800 is an abundant number, since it is smaller than the sum of its proper divisors (1144349667252).

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

342180352800 is a wasteful number, since it uses less digits than its factorization.

342180352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 342180352800 in words is "three hundred forty-two billion, one hundred eighty million, three hundred fifty-two thousand, eight hundred".