3746112 has 56 divisors (see below), whose sum is σ = 10058400. Its totient is φ = 1230336.

The previous prime is 3746111. The next prime is 3746143. The reversal of 3746112 is 2116473.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746111) 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, 20839 + ... + 21017.

Almost surely, 2^3746112 is an apocalyptic number.

3746112 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 3746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029200).

3746112 is an abundant number, since it is smaller than the sum of its proper divisors (6312288).

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

3746112 is a wasteful number, since it uses less digits than its factorization.

3746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 3746112 is about 1935.4875354804. The cubic root of 3746112 is about 155.3079137530.

It can be divided in two parts, 37461 and 12, that added together give a palindrome (37473).

The spelling of 3746112 in words is "three million, seven hundred forty-six thousand, one hundred twelve".