3086272 has 42 divisors (see below), whose sum is σ = 7084568. Its totient is φ = 1306752.

The previous prime is 3086269. The next prime is 3086287. The reversal of 3086272 is 2726803.

3086272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3086272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37143 + ... + 37225.

Almost surely, 2^3086272 is an apocalyptic number.

3086272 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 3086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542284).

3086272 is an abundant number, since it is smaller than the sum of its proper divisors (3998296).

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

3086272 is an frugal number, since it uses more digits than its factorization.

3086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3086272 is about 1756.7788705469. The cubic root of 3086272 is about 145.5944207499.

Multiplying 3086272 by its sum of digits (28), we get a square (86415616 = 9296²).

3086272 divided by its sum of digits (28) gives a square (110224 = 332²).

Multiplying 3086272 by its product of nonzero digits (4032), we get a square (12443848704 = 111552²).

The spelling of 3086272 in words is "three million, eighty-six thousand, two hundred seventy-two".