3961272 has 128 divisors (see below), whose sum is σ = 12787200. Its totient is φ = 995328.

The previous prime is 3961271. The next prime is 3961283. The reversal of 3961272 is 2721693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54228 + ... + 54300.

It is an arithmetic number, because the mean of its divisors is an integer number (99900).

Almost surely, 2^3961272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3961272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393600).

3961272 is an abundant number, since it is smaller than the sum of its proper divisors (8825928).

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

3961272 is a wasteful number, since it uses less digits than its factorization.

3961272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 3961272 is about 1990.2944505776. The cubic root of 3961272 is about 158.2261356266.

The spelling of 3961272 in words is "three million, nine hundred sixty-one thousand, two hundred seventy-two".