3839472 has 120 divisors (see below), whose sum is σ = 13269984. Its totient is φ = 1009152.

The previous prime is 3839471. The next prime is 3839503. The reversal of 3839472 is 2749383.

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 d-powerful number, because it can be written as 3⁹ + 8 + 3¹³ + 9⁴ + 4⁶ + 7⁶ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3839471) 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, 12958 + ... + 13250.

Almost surely, 2^3839472 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 3839472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634992).

3839472 is an abundant number, since it is smaller than the sum of its proper divisors (9430512).

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

3839472 is a wasteful number, since it uses less digits than its factorization.

3839472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3839472 is about 1959.4570676593. The cubic root of 3839472 is about 156.5875280604.

The spelling of 3839472 in words is "three million, eight hundred thirty-nine thousand, four hundred seventy-two".