3834864 has 100 divisors (see below), whose sum is σ = 12153240. Its totient is φ = 1157760.

The previous prime is 3834851. The next prime is 3834893. The reversal of 3834864 is 4684383.

3834864 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 nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 14122 + ... + 14390.

Almost surely, 2^3834864 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 3834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076620).

3834864 is an abundant number, since it is smaller than the sum of its proper divisors (8318376).

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

3834864 is a wasteful number, since it uses less digits than its factorization.

3834864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3834864 is about 1958.2808787301. The cubic root of 3834864 is about 156.5248593581.

The spelling of 3834864 in words is "three million, eight hundred thirty-four thousand, eight hundred sixty-four".