3761664 has 80 divisors (see below), whose sum is σ = 10475520. Its totient is φ = 1198080.

The previous prime is 3761647. The next prime is 3761669. The reversal of 3761664 is 4661673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3761669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47577 + ... + 47655.

It is an arithmetic number, because the mean of its divisors is an integer number (130944).

Almost surely, 2^3761664 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 3761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237760).

3761664 is an abundant number, since it is smaller than the sum of its proper divisors (6713856).

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

3761664 is an equidigital number, since it uses as much as digits as its factorization.

3761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 3761664 is about 1939.5009667438. The cubic root of 3761664 is about 155.5225375122.

Subtracting 3761664 from its reverse (4661673), we obtain a palindrome (900009).

The spelling of 3761664 in words is "three million, seven hundred sixty-one thousand, six hundred sixty-four".