342121449600 has 2016 divisors, whose sum is σ = 1530657070740. Its totient is φ = 75246796800.

The previous prime is 342121449599. The next prime is 342121449611. The reversal of 342121449600 is 6944121243.

342121449600 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 2 + 1 + 4 + 49 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50754682944 + 291366766656 = 225288^2 + 539784^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 4686595164 + ... + 4686595236.

Almost surely, 2^342121449600 is an apocalyptic number.

342121449600 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 342121449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765328535370).

342121449600 is an abundant number, since it is smaller than the sum of its proper divisors (1188535621140).

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

342121449600 is an equidigital number, since it uses as much as digits as its factorization.

342121449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 342121449600 in words is "three hundred forty-two billion, one hundred twenty-one million, four hundred forty-nine thousand, six hundred".