3934944 has 72 divisors (see below), whose sum is σ = 12062232. Its totient is φ = 1209600.

The previous prime is 3934943. The next prime is 3934963. The reversal of 3934944 is 4494393.

3934944 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3934899 and 3934908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3219 + ... + 4269.

It is an arithmetic number, because the mean of its divisors is an integer number (167531).

Almost surely, 2^3934944 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 3934944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031116).

3934944 is an abundant number, since it is smaller than the sum of its proper divisors (8127288).

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

3934944 is a wasteful number, since it uses less digits than its factorization.

3934944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3934944 is about 1983.6693272821. The cubic root of 3934944 is about 157.8748140477.

It can be divided in two parts, 39349 and 44, that added together give a palindrome (39393).

The spelling of 3934944 in words is "three million, nine hundred thirty-four thousand, nine hundred forty-four".