3846456 has 48 divisors (see below), whose sum is σ = 10679760. Its totient is φ = 1249920.

The previous prime is 3846439. The next prime is 3846461. The reversal of 3846456 is 6546483.

3846456 is a `hidden beast` number, since 3 + 8 + 4 + 645 + 6 = 666.

3846456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3846456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2301 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (222495).

Almost surely, 2^3846456 is an apocalyptic number.

3846456 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 3846456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339880).

3846456 is an abundant number, since it is smaller than the sum of its proper divisors (6833304).

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

3846456 is a wasteful number, since it uses less digits than its factorization.

3846456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3846456 is about 1961.2383842868. The cubic root of 3846456 is about 156.6824147944.

The spelling of 3846456 in words is "three million, eight hundred forty-six thousand, four hundred fifty-six".