342616320 has 108 divisors (see below), whose sum is σ = 1185456636. Its totient is φ = 91361280.

The previous prime is 342616301. The next prime is 342616331. The reversal of 342616320 is 23616243.

342616320 is a `hidden beast` number, since 3 + 4 + 26 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 222845184 + 119771136 = 14928^2 + 10944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3351 + ... + 26390.

Almost surely, 2^342616320 is an apocalyptic number.

342616320 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 342616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592728318).

342616320 is an abundant number, since it is smaller than the sum of its proper divisors (842840316).

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

342616320 is a wasteful number, since it uses less digits than its factorization.

342616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29768 (or 29751 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 342616320 is about 18509.8978927492. The cubic root of 342616320 is about 699.7388958160.

The spelling of 342616320 in words is "three hundred forty-two million, six hundred sixteen thousand, three hundred twenty".