3846864 has 60 divisors (see below), whose sum is σ = 11464544. Its totient is φ = 1088832.

The previous prime is 3846863. The next prime is 3846877. The reversal of 3846864 is 4686483.

3846864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846863) by changing a digit.

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, 35899 + ... + 36005.

Almost surely, 2^3846864 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 3846864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732272).

3846864 is an abundant number, since it is smaller than the sum of its proper divisors (7617680).

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

3846864 is a wasteful number, since it uses less digits than its factorization.

3846864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 119 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3846864 is about 1961.3423974411. The cubic root of 3846864 is about 156.6879544535.

The spelling of 3846864 in words is "three million, eight hundred forty-six thousand, eight hundred sixty-four".