3843972 has 72 divisors (see below), whose sum is σ = 11243232. Its totient is φ = 1094400.

The previous prime is 3843971. The next prime is 3843977. The reversal of 3843972 is 2793483.

3843972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3843972² = 29552241473568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3843971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6447 + ... + 7017.

It is an arithmetic number, because the mean of its divisors is an integer number (156156).

Almost surely, 2^3843972 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 3843972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621616).

3843972 is an abundant number, since it is smaller than the sum of its proper divisors (7399260).

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

3843972 is a wasteful number, since it uses less digits than its factorization.

3843972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

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

The square root of 3843972 is about 1960.6050086644. The cubic root of 3843972 is about 156.6486795908.

It can be divided in two parts, 384 and 3972, that added together give a square (4356 = 66²).

The spelling of 3843972 in words is "three million, eight hundred forty-three thousand, nine hundred seventy-two".