3872544 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1139712.

The previous prime is 3872543. The next prime is 3872567. The reversal of 3872544 is 4452783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36139 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^3872544 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 3872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

3872544 is an abundant number, since it is smaller than the sum of its proper divisors (7558176).

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

3872544 is a wasteful number, since it uses less digits than its factorization.

3872544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 3872544 is about 1967.8780450018. The cubic root of 3872544 is about 157.0358418177.

The spelling of 3872544 in words is "three million, eight hundred seventy-two thousand, five hundred forty-four".