3688670500 has 48 divisors (see below), whose sum is σ = 8085443184. Its totient is φ = 1470086400.

The previous prime is 3688670483. The next prime is 3688670519. The reversal of 3688670500 is 50768863.

It can be written as a sum of positive squares in 8 ways, for example, as 670706404 + 3017964096 = 25898^2 + 54936^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125184 + ... + 151816.

It is an arithmetic number, because the mean of its divisors is an integer number (168446733).

Almost surely, 2^3688670500 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 3688670500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042721592).

3688670500 is an abundant number, since it is smaller than the sum of its proper divisors (4396772684).

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

3688670500 is a wasteful number, since it uses less digits than its factorization.

3688670500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26929 (or 26917 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 3688670500 is about 60734.4259872438. The cubic root of 3688670500 is about 1545.1001006910.

The spelling of 3688670500 in words is "three billion, six hundred eighty-eight million, six hundred seventy thousand, five hundred".