3846816 has 108 divisors (see below), whose sum is σ = 11857482. Its totient is φ = 1181952.

The previous prime is 3846769. The next prime is 3846833. The reversal of 3846816 is 6186483.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 1299600 = 1596^2 + 1140^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103950 + ... + 103986.

Almost surely, 2^3846816 is an apocalyptic number.

3846816 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 3846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928741).

3846816 is an abundant number, since it is smaller than the sum of its proper divisors (8010666).

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

3846816 is a wasteful number, since it uses less digits than its factorization.

3846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3846816 is about 1961.3301608857. The cubic root of 3846816 is about 156.6873027492.

The spelling of 3846816 in words is "three million, eight hundred forty-six thousand, eight hundred sixteen".