3745128 has 64 divisors (see below), whose sum is σ = 10137600. Its totient is φ = 1149120.

The previous prime is 3745127. The next prime is 3745129. The reversal of 3745128 is 8215473.

3745128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3745127) and next prime (3745129).

It is a junction number, because it is equal to n+sod(n) for n = 3745095 and 3745104.

It is not an unprimeable number, because it can be changed into a prime (3745127) 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, 19513 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (158400).

Almost surely, 2^3745128 is an apocalyptic number.

3745128 is a gapful number since it is divisible by the number (38) 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 3745128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068800).

3745128 is an abundant number, since it is smaller than the sum of its proper divisors (6392472).

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

3745128 is a wasteful number, since it uses less digits than its factorization.

3745128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 3745128 is about 1935.2333192667. The cubic root of 3745128 is about 155.2943141979.

The spelling of 3745128 in words is "three million, seven hundred forty-five thousand, one hundred twenty-eight".