3927872 has 28 divisors (see below), whose sum is σ = 8395716. Its totient is φ = 1812480.

The previous prime is 3927839. The next prime is 3927877. The reversal of 3927872 is 2787293.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 2637376 = 1136^2 + 1624^2 .

It is a d-powerful number, because it can be written as 3¹⁰ + 9⁵ + 2¹⁵ + 7⁷ + 8⁵ + 7⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3927877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1529 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (299847).

Almost surely, 2^3927872 is an apocalyptic number.

3927872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3927872 is an abundant number, since it is smaller than the sum of its proper divisors (4467844).

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

3927872 is a wasteful number, since it uses less digits than its factorization.

3927872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4736 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 3927872 is about 1981.8859704837. The cubic root of 3927872 is about 157.7801782056.

The spelling of 3927872 in words is "three million, nine hundred twenty-seven thousand, eight hundred seventy-two".