3663744 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 989184.

The previous prime is 3663743. The next prime is 3663749. The reversal of 3663744 is 4473663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77929 + ... + 77975.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3663744 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 3663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3663744 is an abundant number, since it is smaller than the sum of its proper divisors (8086656).

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

3663744 is a wasteful number, since it uses less digits than its factorization.

3663744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 3663744 is about 1914.0909069321. The cubic root of 3663744 is about 154.1611850336.

It can be divided in two parts, 3663 and 744, that multiplied together give a palindrome (2725272).

The spelling of 3663744 in words is "three million, six hundred sixty-three thousand, seven hundred forty-four".