342624216 has 64 divisors (see below), whose sum is σ = 938073600. Its totient is φ = 103420800.

The previous prime is 342624211. The next prime is 342624221. The reversal of 342624216 is 612426243.

342624216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (342624211) and next prime (342624221).

It is a super-2 number, since 2×342624216² = 234782706779229312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342624211) 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 15 ways as a sum of consecutive naturals, for example, 69150 + ... + 73938.

It is an arithmetic number, because the mean of its divisors is an integer number (14657400).

Almost surely, 2^342624216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342624216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469036800).

342624216 is an abundant number, since it is smaller than the sum of its proper divisors (595449384).

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

342624216 is a wasteful number, since it uses less digits than its factorization.

342624216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5076 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 342624216 is about 18510.1111828103. Note that the first 4 decimals coincide. The cubic root of 342624216 is about 699.7442712126.

The spelling of 342624216 in words is "three hundred forty-two million, six hundred twenty-four thousand, two hundred sixteen".