3686622720 has 480 divisors, whose sum is σ = 13748334336. Its totient is φ = 835584000.

The previous prime is 3686622691. The next prime is 3686622733. The reversal of 3686622720 is 272266863.

3686622720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24414645 + ... + 24414795.

Almost surely, 2^3686622720 is an apocalyptic number.

3686622720 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 3686622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874167168).

3686622720 is an abundant number, since it is smaller than the sum of its proper divisors (10061711616).

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

3686622720 is a wasteful number, since it uses less digits than its factorization.

3686622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3686622720 is about 60717.5651685737. The cubic root of 3686622720 is about 1544.8141249560.

The spelling of 3686622720 in words is "three billion, six hundred eighty-six million, six hundred twenty-two thousand, seven hundred twenty".