3766639488 has 128 divisors (see below), whose sum is σ = 10178784000. Its totient is φ = 1233948672.

The previous prime is 3766639453. The next prime is 3766639489. The reversal of 3766639488 is 8849366673.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766639489) by changing a digit.

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, 10491853 + ... + 10492211.

It is an arithmetic number, because the mean of its divisors is an integer number (79521750).

Almost surely, 2^3766639488 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 3766639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089392000).

3766639488 is an abundant number, since it is smaller than the sum of its proper divisors (6412144512).

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

3766639488 is a wasteful number, since it uses less digits than its factorization.

3766639488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

The square root of 3766639488 is about 61372.9540432917. The cubic root of 3766639488 is about 1555.9107629405.

The spelling of 3766639488 in words is "three billion, seven hundred sixty-six million, six hundred thirty-nine thousand, four hundred eighty-eight".