3798144 has 128 divisors (see below), whose sum is σ = 12892800. Its totient is φ = 1078272.

The previous prime is 3798131. The next prime is 3798149. The reversal of 3798144 is 4418973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3798099 and 3798108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3798149) 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, 24114 + ... + 24270.

It is an arithmetic number, because the mean of its divisors is an integer number (100725).

Almost surely, 2^3798144 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 3798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446400).

3798144 is an abundant number, since it is smaller than the sum of its proper divisors (9094656).

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

3798144 is a wasteful number, since it uses less digits than its factorization.

3798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3798144 is about 1948.8827568635. The cubic root of 3798144 is about 156.0236650489.

It can be divided in two parts, 37981 and 44, that added together give a square (38025 = 195²).

The spelling of 3798144 in words is "three million, seven hundred ninety-eight thousand, one hundred forty-four".