3538640 has 80 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1182720.

The previous prime is 3538627. The next prime is 3538649. The reversal of 3538640 is 468353.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538649) 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, 39716 + ... + 39804.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 2^3538640 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 3538640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3538640 is an abundant number, since it is smaller than the sum of its proper divisors (6103600).

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

3538640 is a wasteful number, since it uses less digits than its factorization.

3538640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3538640 is about 1881.1273215814. The cubic root of 3538640 is about 152.3861373484.

The spelling of 3538640 in words is "three million, five hundred thirty-eight thousand, six hundred forty".