3846336 has 112 divisors (see below), whose sum is σ = 11606784. Its totient is φ = 1115136.

The previous prime is 3846331. The next prime is 3846347. The reversal of 3846336 is 6336483.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (108).

3846336 is a modest number, since divided by 6336 gives 384 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3846297 and 3846306.

It is not an unprimeable number, because it can be changed into a prime (3846331) 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, 57375 + ... + 57441.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

Almost surely, 2^3846336 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 3846336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803392).

3846336 is an abundant number, since it is smaller than the sum of its proper divisors (7760448).

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

3846336 is a wasteful number, since it uses less digits than its factorization.

3846336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3846336 is about 1961.2077911328. The cubic root of 3846336 is about 156.6807854083.

The spelling of 3846336 in words is "three million, eight hundred forty-six thousand, three hundred thirty-six".