3611872 has 48 divisors (see below), whose sum is σ = 8031744. Its totient is φ = 1584000.

The previous prime is 3611869. The next prime is 3611873. The reversal of 3611872 is 2781163.

3611872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3611872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3611873) 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, 10747 + ... + 11077.

It is an arithmetic number, because the mean of its divisors is an integer number (167328).

Almost surely, 2^3611872 is an apocalyptic number.

3611872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015872).

3611872 is an abundant number, since it is smaller than the sum of its proper divisors (4419872).

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

3611872 is a wasteful number, since it uses less digits than its factorization.

3611872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 3611872 is about 1900.4925677308. The cubic root of 3611872 is about 153.4301761679.

The spelling of 3611872 in words is "three million, six hundred eleven thousand, eight hundred seventy-two".