3686335920 has 400 divisors, whose sum is σ = 13683648000. Its totient is φ = 917070336.

The previous prime is 3686335897. The next prime is 3686335921. The reversal of 3686335920 is 295336863.

3686335920 is a `hidden beast` number, since 3 + 6 + 8 + 633 + 5 + 9 + 2 + 0 = 666.

3686335920 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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686335921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9726291 + ... + 9726669.

It is an arithmetic number, because the mean of its divisors is an integer number (34209120).

Almost surely, 2^3686335920 is an apocalyptic number.

3686335920 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 3686335920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841824000).

3686335920 is an abundant number, since it is smaller than the sum of its proper divisors (9997312080).

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

3686335920 is a wasteful number, since it uses less digits than its factorization.

3686335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3686335920 is about 60715.2033678551. The cubic root of 3686335920 is about 1544.7740644260.

The spelling of 3686335920 in words is "three billion, six hundred eighty-six million, three hundred thirty-five thousand, nine hundred twenty".