3974272 has 32 divisors (see below), whose sum is σ = 8063100. Its totient is φ = 1950720.

The previous prime is 3974261. The next prime is 3974279. The reversal of 3974272 is 2724793.

It can be written as a sum of positive squares in 2 ways, for example, as 3904576 + 69696 = 1976^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3974279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7554 + ... + 8062.

Almost surely, 2^3974272 is an apocalyptic number.

3974272 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 3974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031550).

3974272 is an abundant number, since it is smaller than the sum of its proper divisors (4088828).

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

3974272 is an equidigital number, since it uses as much as digits as its factorization.

3974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 3974272 is about 1993.5576239477. The cubic root of 3974272 is about 158.3990341063.

The spelling of 3974272 in words is "three million, nine hundred seventy-four thousand, two hundred seventy-two".