3684788352 has 192 divisors, whose sum is σ = 12831436800. Its totient is φ = 990830592.

The previous prime is 3684788339. The next prime is 3684788357. The reversal of 3684788352 is 2538874863.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3684788357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123649 + ... + 150527.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^3684788352 is an apocalyptic number.

3684788352 is a gapful number since it is divisible by the number (32) 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 3684788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3684788352 is an abundant number, since it is smaller than the sum of its proper divisors (9146648448).

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

3684788352 is a wasteful number, since it uses less digits than its factorization.

3684788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26923 (or 26908 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3684788352 is about 60702.4575449792. The cubic root of 3684788352 is about 1544.5578626130.

The spelling of 3684788352 in words is "three billion, six hundred eighty-four million, seven hundred eighty-eight thousand, three hundred fifty-two".