3418272 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 944640.

The previous prime is 3418267. The next prime is 3418279. The reversal of 3418272 is 2728143.

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

Its product of digits (2688) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3418279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41143 + ... + 41225.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 2^3418272 is an apocalyptic number.

3418272 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 3418272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3418272 is an abundant number, since it is smaller than the sum of its proper divisors (8139456).

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

3418272 is a wasteful number, since it uses less digits than its factorization.

3418272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

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

The square root of 3418272 is about 1848.8569441685. The cubic root of 3418272 is about 150.6383462403.

The spelling of 3418272 in words is "three million, four hundred eighteen thousand, two hundred seventy-two".