3686064000 has 256 divisors, whose sum is σ = 12524016960. Its totient is φ = 958464000.

The previous prime is 3686063993. The next prime is 3686064001. The reversal of 3686064000 is 4606863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686064001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967064 + ... + 1968936.

Almost surely, 2^3686064000 is an apocalyptic number.

3686064000 is a gapful number since it is divisible by the number (30) 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 3686064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262008480).

3686064000 is an abundant number, since it is smaller than the sum of its proper divisors (8837952960).

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

3686064000 is a wasteful number, since it uses less digits than its factorization.

3686064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3686064000 is about 60712.9640192274. The cubic root of 3686064000 is about 1544.7360804313.

The spelling of 3686064000 in words is "three billion, six hundred eighty-six million, sixty-four thousand".