3537644 has 48 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 1497600.

The previous prime is 3537641. The next prime is 3537647. The reversal of 3537644 is 4467353.

It is an interprime number because it is at equal distance from previous prime (3537641) and next prime (3537647).

It is a d-powerful number, because it can be written as 3³ + 5⁹ + 3¹² + 7³ + 6² + 4⁶ + 4¹⁰ .

Its product of digits (30240) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3537644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537641) 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, 66722 + ... + 66774.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 2^3537644 is an apocalyptic number.

It is an amenable number.

3537644 is an abundant number, since it is smaller than the sum of its proper divisors (3701812).

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

3537644 is a wasteful number, since it uses less digits than its factorization.

3537644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 30240, while the sum is 32.

The square root of 3537644 is about 1880.8625680788. The cubic root of 3537644 is about 152.3718389329.

It can be divided in two parts, 353 and 7644, that added together give a palindrome (7997).

The spelling of 3537644 in words is "three million, five hundred thirty-seven thousand, six hundred forty-four".