342736483200 has 384 divisors, whose sum is σ = 1220752581120. Its totient is φ = 84188037120.

The previous prime is 342736483171. The next prime is 342736483207. The reversal of 342736483200 is 2384637243.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×342736483200³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342736483207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7648059 + ... + 7692741.

It is an arithmetic number, because the mean of its divisors is an integer number (3179043180).

Almost surely, 2^342736483200 is an apocalyptic number.

342736483200 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 342736483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610376290560).

342736483200 is an abundant number, since it is smaller than the sum of its proper divisors (878016097920).

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

342736483200 is a wasteful number, since it uses less digits than its factorization.

342736483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44774 (or 44757 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 342736483200 in words is "three hundred forty-two billion, seven hundred thirty-six million, four hundred eighty-three thousand, two hundred".