3757872 has 40 divisors (see below), whose sum is σ = 9840640. Its totient is φ = 1235520.

The previous prime is 3757861. The next prime is 3757879. The reversal of 3757872 is 2787573.

3757872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3757872.

It is not an unprimeable number, because it can be changed into a prime (3757879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3297 + ... + 4287.

It is an arithmetic number, because the mean of its divisors is an integer number (246016).

Almost surely, 2^3757872 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 3757872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920320).

3757872 is an abundant number, since it is smaller than the sum of its proper divisors (6082768).

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

3757872 is a wasteful number, since it uses less digits than its factorization.

3757872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 3757872 is about 1938.5231492041. The cubic root of 3757872 is about 155.4702610250.

Adding to 3757872 its sum of digits (39), we get a triangular number (3757911 = T₂₇₄₁).

Subtracting from 3757872 its reverse (2787573), we obtain a cube (970299 = 99³).

The spelling of 3757872 in words is "three million, seven hundred fifty-seven thousand, eight hundred seventy-two".