3804864 has 112 divisors (see below), whose sum is σ = 12192000. Its totient is φ = 1022976.

The previous prime is 3804859. The next prime is 3804869. The reversal of 3804864 is 4684083.

It is an interprime number because it is at equal distance from previous prime (3804859) and next prime (3804869).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804869) 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, 25462 + ... + 25610.

Almost surely, 2^3804864 is an apocalyptic number.

3804864 is the 1043-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096000).

3804864 is an abundant number, since it is smaller than the sum of its proper divisors (8387136).

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

3804864 is a wasteful number, since it uses less digits than its factorization.

3804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3804864 is about 1950.6060596645. The cubic root of 3804864 is about 156.1156276218.

The spelling of 3804864 in words is "three million, eight hundred four thousand, eight hundred sixty-four".