3538944 has 72 divisors (see below), whose sum is σ = 10485720. Its totient is φ = 1179648.

The previous prime is 3538933. The next prime is 3538949. The reversal of 3538944 is 4498353.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (2!)⁸.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (5).

It is a junction number, because it is equal to n+sod(n) for n = 3538899 and 3538908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1179647 + 1179648 + 1179649.

It is an arithmetic number, because the mean of its divisors is an integer number (145635).

Almost surely, 2^3538944 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 3538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860).

3538944 is an abundant number, since it is smaller than the sum of its proper divisors (6946776).

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

3538944 is an frugal number, since it uses more digits than its factorization.

3538944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 5 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3538944 is about 1881.2081224575. The cubic root of 3538944 is about 152.3905009889.

The spelling of 3538944 in words is "three million, five hundred thirty-eight thousand, nine hundred forty-four".