3745584 has 90 divisors (see below), whose sum is σ = 11340420. Its totient is φ = 1150848.

The previous prime is 3745543. The next prime is 3745589. The reversal of 3745584 is 4855473.

3745584 is a `hidden beast` number, since 3 + 74 + 5 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3745589) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101214 + ... + 101250.

Almost surely, 2^3745584 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 3745584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670210).

3745584 is an abundant number, since it is smaller than the sum of its proper divisors (7594836).

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

3745584 is a wasteful number, since it uses less digits than its factorization.

3745584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 61 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 3745584 is about 1935.3511309321. The cubic root of 3745584 is about 155.3006167269.

The spelling of 3745584 in words is "three million, seven hundred forty-five thousand, five hundred eighty-four".