3864336 has 120 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 1048320.

The previous prime is 3864331. The next prime is 3864347. The reversal of 3864336 is 6334683.

3864336 is digitally balanced in base 8, 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.

Its product of digits (31104) is a multiple of the sum of its prime divisors (96).

3864336 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3864297 and 3864306.

It is not an unprimeable number, because it can be changed into a prime (3864331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72886 + ... + 72938.

Almost surely, 2^3864336 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 3864336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

3864336 is an abundant number, since it is smaller than the sum of its proper divisors (8349168).

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

3864336 is a wasteful number, since it uses less digits than its factorization.

3864336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3864336 is about 1965.7914436684. The cubic root of 3864336 is about 156.9248155842.

The spelling of 3864336 in words is "three million, eight hundred sixty-four thousand, three hundred thirty-six".