3824672 has 24 divisors (see below), whose sum is σ = 7693056. Its totient is φ = 1870912.

The previous prime is 3824671. The next prime is 3824683. The reversal of 3824672 is 2764283.

It is a super-3 number, since 3×3824672³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3¹³ + 8⁷ + 2¹¹ + 4³ + 6 + 7 + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (320544).

Almost surely, 2^3824672 is an apocalyptic number.

3824672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846528).

3824672 is an abundant number, since it is smaller than the sum of its proper divisors (3868384).

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

3824672 is a wasteful number, since it uses less digits than its factorization.

3824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2592 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 3824672 is about 1955.6768649243. The cubic root of 3824672 is about 156.3860698429.

The spelling of 3824672 in words is "three million, eight hundred twenty-four thousand, six hundred seventy-two".