3689738668 has 216 divisors, whose sum is σ = 9023400960. Its totient is φ = 1287316800.

The previous prime is 3689738653. The next prime is 3689738719. The reversal of 3689738668 is 8668379863.

It is a super-2 number, since 2×3689738668² = 27228342876268828448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85807855 + ... + 85807897.

Almost surely, 2^3689738668 is an apocalyptic number.

3689738668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3689738668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511700480).

3689738668 is an abundant number, since it is smaller than the sum of its proper divisors (5333662292).

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

3689738668 is a wasteful number, since it uses less digits than its factorization.

3689738668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 113 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 64.

The square root of 3689738668 is about 60743.2191112720. The cubic root of 3689738668 is about 1545.2492300498.

The spelling of 3689738668 in words is "three billion, six hundred eighty-nine million, seven hundred thirty-eight thousand, six hundred sixty-eight".