3738944 has 56 divisors (see below), whose sum is σ = 8339328. Its totient is φ = 1648640.

The previous prime is 3738937. The next prime is 3738947. The reversal of 3738944 is 4498373.

It is a d-powerful number, because it can be written as 3¹³ + 7⁴ + 3¹³ + 8 + 9⁶ + 4³ + 4⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 3738898 and 3738907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33032 + ... + 33144.

Almost surely, 2^3738944 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 3738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169664).

3738944 is an abundant number, since it is smaller than the sum of its proper divisors (4600384).

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

3738944 is a wasteful number, since it uses less digits than its factorization.

3738944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3738944 is about 1933.6349190062. The cubic root of 3738944 is about 155.2087925015.

The spelling of 3738944 in words is "three million, seven hundred thirty-eight thousand, nine hundred forty-four".