3864432 has 80 divisors (see below), whose sum is σ = 11749248. Its totient is φ = 1079040.

The previous prime is 3864409. The next prime is 3864433. The reversal of 3864432 is 2344683.

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

It is a d-powerful number, because it can be written as 3⁷ + 8⁷ + 6⁸ + 4⁴ + 4⁸ + 3⁹ + 2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3864432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864433) 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, 6583 + ... + 7145.

Almost surely, 2^3864432 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 3864432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874624).

3864432 is an abundant number, since it is smaller than the sum of its proper divisors (7884816).

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

3864432 is a wasteful number, since it uses less digits than its factorization.

3864432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3864432 is about 1965.8158611630. The cubic root of 3864432 is about 156.9261150448.

The spelling of 3864432 in words is "three million, eight hundred sixty-four thousand, four hundred thirty-two".