3753872 has 40 divisors (see below), whose sum is σ = 7930296. Its totient is φ = 1714176.

The previous prime is 3753859. The next prime is 3753877. The reversal of 3753872 is 2783573.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 1860496 = 1376^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (3753877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9878 + ... + 10250.

Almost surely, 2^3753872 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 3753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965148).

3753872 is an abundant number, since it is smaller than the sum of its proper divisors (4176424).

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

3753872 is a wasteful number, since it uses less digits than its factorization.

3753872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 3753872 is about 1937.4911612702. The cubic root of 3753872 is about 155.4150789233.

Subtracting from 3753872 its reverse (2783573), we obtain a cube (970299 = 99³).

It can be divided in two parts, 37538 and 72, that multiplied together give a square (2702736 = 1644²).

The spelling of 3753872 in words is "three million, seven hundred fifty-three thousand, eight hundred seventy-two".