3842272 has 48 divisors (see below), whose sum is σ = 9162720. Its totient is φ = 1548288.

The previous prime is 3842269. The next prime is 3842281. The reversal of 3842272 is 2722483.

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 3842272.

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, 3304 + ... + 4312.

It is an arithmetic number, because the mean of its divisors is an integer number (190890).

Almost surely, 2^3842272 is an apocalyptic number.

3842272 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 3842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581360).

3842272 is an abundant number, since it is smaller than the sum of its proper divisors (5320448).

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

3842272 is a wasteful number, since it uses less digits than its factorization.

3842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 3842272 is about 1960.1714210752. The cubic root of 3842272 is about 156.6255835136.

It can be divided in two parts, 3842 and 272, that added together give a palindrome (4114).

The spelling of 3842272 in words is "three million, eight hundred forty-two thousand, two hundred seventy-two".