3805824 has 128 divisors (see below), whose sum is σ = 11897280. Its totient is φ = 1064960.

The previous prime is 3805819. The next prime is 3805829. The reversal of 3805824 is 4285083.

It is an interprime number because it is at equal distance from previous prime (3805819) and next prime (3805829).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3805791 and 3805800.

It is not an unprimeable number, because it can be changed into a prime (3805829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71782 + ... + 71834.

Almost surely, 2^3805824 is an apocalyptic number.

3805824 is a gapful number since it is divisible by the number (34) 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 3805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948640).

3805824 is an abundant number, since it is smaller than the sum of its proper divisors (8091456).

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

3805824 is a wasteful number, since it uses less digits than its factorization.

3805824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3805824 is about 1950.8521215100. The cubic root of 3805824 is about 156.1287562908.

The spelling of 3805824 in words is "three million, eight hundred five thousand, eight hundred twenty-four".