3691944 has 48 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 1203360.

The previous prime is 3691921. The next prime is 3691949. The reversal of 3691944 is 4491963.

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 = 3691899 and 3691908.

It is not an unprimeable number, because it can be changed into a prime (3691949) 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, 2839 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 2^3691944 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 3691944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3691944 is an abundant number, since it is smaller than the sum of its proper divisors (6529176).

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

3691944 is a wasteful number, since it uses less digits than its factorization.

3691944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1143 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3691944 is about 1921.4432075916. The cubic root of 3691944 is about 154.5557030427. Note that the first 3 decimals are identical.

It can be divided in two parts, 36919 and 44, that added together give a palindrome (36963).

The spelling of 3691944 in words is "three million, six hundred ninety-one thousand, nine hundred forty-four".