3766112 has 96 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 1419264.

The previous prime is 3766111. The next prime is 3766117. The reversal of 3766112 is 2116673.

3766112 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

3766112 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766111) 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, 87563 + ... + 87605.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

Almost surely, 2^3766112 is an apocalyptic number.

3766112 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 3766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016).

3766112 is an abundant number, since it is smaller than the sum of its proper divisors (5813920).

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

3766112 is a wasteful number, since it uses less digits than its factorization.

3766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 3766112 is about 1940.6473146865. The cubic root of 3766112 is about 155.5838128561.

It can be divided in two parts, 37661 and 12, that added together give a palindrome (37673).

The spelling of 3766112 in words is "three million, seven hundred sixty-six thousand, one hundred twelve".