3849336 has 64 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1260000.

The previous prime is 3849319. The next prime is 3849341. The reversal of 3849336 is 6339483.

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 3¹⁰ + 8³ + 4⁹ + 9⁵ + 3¹³ + 3¹³ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3849336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15211 + ... + 15461.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^3849336 is an apocalyptic number.

3849336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3849336 is an abundant number, since it is smaller than the sum of its proper divisors (7037064).

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

3849336 is a wasteful number, since it uses less digits than its factorization.

3849336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3849336 is about 1961.9724768712. The cubic root of 3849336 is about 156.7215098973.

The spelling of 3849336 in words is "three million, eight hundred forty-nine thousand, three hundred thirty-six".