34218720 has 144 divisors (see below), whose sum is σ = 121126320. Its totient is φ = 9022464.

The previous prime is 34218689. The next prime is 34218727. The reversal of 34218720 is 2781243.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34218727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384436 + ... + 384524.

It is an arithmetic number, because the mean of its divisors is an integer number (841155).

Almost surely, 2^34218720 is an apocalyptic number.

34218720 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 34218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60563160).

34218720 is an abundant number, since it is smaller than the sum of its proper divisors (86907600).

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

34218720 is an equidigital number, since it uses as much as digits as its factorization.

34218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34218720 is about 5849.6769141552. The cubic root of 34218720 is about 324.6543702339.

Adding to 34218720 its reverse (2781243), we get a palindrome (36999963).

The spelling of 34218720 in words is "thirty-four million, two hundred eighteen thousand, seven hundred twenty".