3684666720 has 288 divisors, whose sum is σ = 13834600416. Its totient is φ = 821452800.

The previous prime is 3684666707. The next prime is 3684666731. The reversal of 3684666720 is 276664863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3684666720.

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, 962410 + ... + 966230.

It is an arithmetic number, because the mean of its divisors is an integer number (48036807).

Almost surely, 2^3684666720 is an apocalyptic number.

3684666720 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 3684666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917300208).

3684666720 is an abundant number, since it is smaller than the sum of its proper divisors (10149933696).

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

3684666720 is a wasteful number, since it uses less digits than its factorization.

3684666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 3684666720 is about 60701.4556662359. The cubic root of 3684666720 is about 1544.5408675411.

The spelling of 3684666720 in words is "three billion, six hundred eighty-four million, six hundred sixty-six thousand, seven hundred twenty".