3689883288 has 256 divisors, whose sum is σ = 12720153600. Its totient is φ = 965053440.

The previous prime is 3689883287. The next prime is 3689883299. The reversal of 3689883288 is 8823889863.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (3689883287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2574220 + ... + 2575652.

It is an arithmetic number, because the mean of its divisors is an integer number (49688100).

Almost surely, 2^3689883288 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 3689883288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360076800).

3689883288 is an abundant number, since it is smaller than the sum of its proper divisors (9030270312).

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

3689883288 is a wasteful number, since it uses less digits than its factorization.

3689883288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1589 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The square root of 3689883288 is about 60744.4095205477. The cubic root of 3689883288 is about 1545.2694185639.

The spelling of 3689883288 in words is "three billion, six hundred eighty-nine million, eight hundred eighty-three thousand, two hundred eighty-eight".