3478272 has 72 divisors (see below), whose sum is σ = 10596096. Its totient is φ = 992256.

The previous prime is 3478271. The next prime is 3478283. The reversal of 3478272 is 2728743.

3478272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3478272² = 24196752211968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3478271) 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 7 ways as a sum of consecutive naturals, for example, 5053 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

Almost surely, 2^3478272 is an apocalyptic number.

3478272 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 3478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048).

3478272 is an abundant number, since it is smaller than the sum of its proper divisors (7117824).

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

3478272 is an equidigital number, since it uses as much as digits as its factorization.

3478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 3478272 is about 1865.0126004936. The cubic root of 3478272 is about 151.5146104482.

The spelling of 3478272 in words is "three million, four hundred seventy-eight thousand, two hundred seventy-two".