3684681536 has 42 divisors (see below), whose sum is σ = 7569292710. Its totient is φ = 1777549312.

The previous prime is 3684681509. The next prime is 3684681551. The reversal of 3684681536 is 6351864863.

It can be written as a sum of positive squares in 3 ways, for example, as 257281600 + 3427399936 = 16040^2 + 58544^2 .

Its product of digits (2488320) is a multiple of the sum of its prime divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2614400 + ... + 2615808.

It is an arithmetic number, because the mean of its divisors is an integer number (180221255).

Almost surely, 2^3684681536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784646355).

3684681536 is an abundant number, since it is smaller than the sum of its proper divisors (3884611174).

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

3684681536 is an frugal number, since it uses more digits than its factorization.

3684681536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 1440 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The square root of 3684681536 is about 60701.5777060201. The cubic root of 3684681536 is about 1544.5429377316.

The spelling of 3684681536 in words is "three billion, six hundred eighty-four million, six hundred eighty-one thousand, five hundred thirty-six".