34418272 has 48 divisors (see below), whose sum is σ = 81527040. Its totient is φ = 13972608.

The previous prime is 34418239. The next prime is 34418287. The reversal of 34418272 is 27281443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 8299.

It is an arithmetic number, because the mean of its divisors is an integer number (1698480).

Almost surely, 2^34418272 is an apocalyptic number.

34418272 is a gapful number since it is divisible by the number (32) 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 34418272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40763520).

34418272 is an abundant number, since it is smaller than the sum of its proper divisors (47108768).

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

34418272 is a wasteful number, since it uses less digits than its factorization.

34418272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8115 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 34418272 is about 5866.7087877276. The cubic root of 34418272 is about 325.2842389115.

The spelling of 34418272 in words is "thirty-four million, four hundred eighteen thousand, two hundred seventy-two".