34518000 has 160 divisors (see below), whose sum is σ = 121635072. Its totient is φ = 8352000.

The previous prime is 34517983. The next prime is 34518017. The reversal of 34518000 is 81543.

34518000 is digitally balanced in base 2, 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 (34517983) and next prime (34518017).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65739 + ... + 66261.

Almost surely, 2^34518000 is an apocalyptic number.

34518000 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 34518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60817536).

34518000 is an abundant number, since it is smaller than the sum of its proper divisors (87117072).

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

34518000 is a wasteful number, since it uses less digits than its factorization.

34518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 34518000 is about 5875.2021241826. The cubic root of 34518000 is about 325.5981096466.

Adding to 34518000 its reverse (81543), we get a palindrome (34599543).

The spelling of 34518000 in words is "thirty-four million, five hundred eighteen thousand".