34218240 has 288 divisors, whose sum is σ = 133432320. Its totient is φ = 7299072.

The previous prime is 34218199. The next prime is 34218251. The reversal of 34218240 is 4281243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34218240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510687 + ... + 510753.

Almost surely, 2^34218240 is an apocalyptic number.

34218240 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 34218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66716160).

34218240 is an abundant number, since it is smaller than the sum of its proper divisors (99214080).

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

34218240 is a wasteful number, since it uses less digits than its factorization.

34218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34218240 is about 5849.6358861044. The cubic root of 34218240 is about 324.6528522068.

Adding to 34218240 its reverse (4281243), we get a palindrome (38499483).

The spelling of 34218240 in words is "thirty-four million, two hundred eighteen thousand, two hundred forty".