3872128 has 48 divisors (see below), whose sum is σ = 8399700. Its totient is φ = 1777152.

The previous prime is 3872101. The next prime is 3872129. The reversal of 3872128 is 8212783.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3872128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21543 + ... + 21721.

Almost surely, 2^3872128 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 3872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199850).

3872128 is an abundant number, since it is smaller than the sum of its proper divisors (4527572).

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

3872128 is a wasteful number, since it uses less digits than its factorization.

3872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 3872128 is about 1967.7723445561. The cubic root of 3872128 is about 157.0302185332.

It can be divided in two parts, 3872 and 128, that multiplied together give a square (495616 = 704²).

The spelling of 3872128 in words is "three million, eight hundred seventy-two thousand, one hundred twenty-eight".