3862944 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1207296.

The previous prime is 3862939. The next prime is 3862987. The reversal of 3862944 is 4492683.

It is a happy number.

3862944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 junction number, because it is equal to n+sod(n) for n = 3862899 and 3862908.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14557 + ... + 14819.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^3862944 is an apocalyptic number.

3862944 is a gapful number since it is divisible by the number (34) 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 3862944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3862944 is an abundant number, since it is smaller than the sum of its proper divisors (8112096).

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

3862944 is a wasteful number, since it uses less digits than its factorization.

3862944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3862944 is about 1965.4373559083. The cubic root of 3862944 is about 156.9059709861.

The spelling of 3862944 in words is "three million, eight hundred sixty-two thousand, nine hundred forty-four".