3958272 has 60 divisors (see below), whose sum is σ = 11437140. Its totient is φ = 1317888.

The previous prime is 3958261. The next prime is 3958313. The reversal of 3958272 is 2728593.

It is a happy number.

3958272 is a `hidden beast` number, since 3 + 9 + 582 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (864).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4179 + ... + 5037.

It is an arithmetic number, because the mean of its divisors is an integer number (190619).

Almost surely, 2^3958272 is an apocalyptic number.

3958272 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 3958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718570).

3958272 is an abundant number, since it is smaller than the sum of its proper divisors (7478868).

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

3958272 is an equidigital number, since it uses as much as digits as its factorization.

3958272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3958272 is about 1989.5406505020. The cubic root of 3958272 is about 158.1861822743.

It can be divided in two parts, 39 and 58272, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 3958272 in words is "three million, nine hundred fifty-eight thousand, two hundred seventy-two".