342838272 has 176 divisors, whose sum is σ = 1061164800. Its totient is φ = 96387072.

The previous prime is 342838247. The next prime is 342838273. The reversal of 342838272 is 272838243.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 342838272.

It is not an unprimeable number, because it can be changed into a prime (342838273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2300854 + ... + 2301002.

Almost surely, 2^342838272 is an apocalyptic number.

342838272 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 342838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530582400).

342838272 is an abundant number, since it is smaller than the sum of its proper divisors (718326528).

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

342838272 is a wasteful number, since it uses less digits than its factorization.

342838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 342838272 is about 18515.8924170562. The cubic root of 342838272 is about 699.8899636561.

The spelling of 342838272 in words is "three hundred forty-two million, eight hundred thirty-eight thousand, two hundred seventy-two".