342579072 has 192 divisors, whose sum is σ = 1023961680. Its totient is φ = 101376000.

The previous prime is 342579037. The next prime is 342579073. The reversal of 342579072 is 270975243.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 342579072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342579073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3391822 + ... + 3391922.

Almost surely, 2^342579072 is an apocalyptic number.

342579072 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 342579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511980840).

342579072 is an abundant number, since it is smaller than the sum of its proper divisors (681382608).

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

342579072 is a wasteful number, since it uses less digits than its factorization.

342579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 342579072 is about 18508.8917010176. The cubic root of 342579072 is about 699.7135372079.

The spelling of 342579072 in words is "three hundred forty-two million, five hundred seventy-nine thousand, seventy-two".