3836448 has 144 divisors (see below), whose sum is σ = 13680576. Its totient is φ = 990720.

The previous prime is 3836431. The next prime is 3836449. The reversal of 3836448 is 8446383.

3836448 is a `hidden beast` number, since 3 + 8 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

It is a d-powerful number, because it can be written as 3² + 8⁵ + 3¹³ + 6⁶ + 4 + 4⁸ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (3836449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22090 + ... + 22262.

It is an arithmetic number, because the mean of its divisors is an integer number (95004).

Almost surely, 2^3836448 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 3836448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840288).

3836448 is an abundant number, since it is smaller than the sum of its proper divisors (9844128).

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

3836448 is a wasteful number, since it uses less digits than its factorization.

3836448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3836448 is about 1958.6852733403. The cubic root of 3836448 is about 156.5464073842.

The spelling of 3836448 in words is "three million, eight hundred thirty-six thousand, four hundred forty-eight".