342884742272 has 72 divisors (see below), whose sum is σ = 693554501115. Its totient is φ = 168855349248.

The previous prime is 342884742253. The next prime is 342884742313. The reversal of 342884742272 is 272247488243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 62688141376 + 280196600896 = 250376^2 + 529336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=414056.

It is a Duffinian number.

Its product of digits (9633792) is a multiple of the sum of its prime divisors (784).

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 8 ways as a sum of consecutive naturals, for example, 483617054 + ... + 483617762.

Almost surely, 2^342884742272 is an apocalyptic number.

342884742272 is a gapful number since it is divisible by the number (32) 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 342884742272

342884742272 is an abundant number, since it is smaller than the sum of its proper divisors (350669758843).

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

342884742272 is an frugal number, since it uses more digits than its factorization.

342884742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 784 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 53.

The spelling of 342884742272 in words is "three hundred forty-two billion, eight hundred eighty-four million, seven hundred forty-two thousand, two hundred seventy-two".