3538584 has 144 divisors (see below), whose sum is σ = 12004200. Its totient is φ = 935424.

The previous prime is 3538559. The next prime is 3538589. The reversal of 3538584 is 4858353.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538589) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59947 + ... + 60005.

Almost surely, 2^3538584 is an apocalyptic number.

3538584 is a gapful number since it is divisible by the number (34) 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 3538584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002100).

3538584 is an abundant number, since it is smaller than the sum of its proper divisors (8465616).

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

3538584 is a wasteful number, since it uses less digits than its factorization.

3538584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 3538584 is about 1881.1124368309. The cubic root of 3538584 is about 152.3853334926.

The spelling of 3538584 in words is "three million, five hundred thirty-eight thousand, five hundred eighty-four".