3683319552 has 432 divisors, whose sum is σ = 12535181568. Its totient is φ = 1027768320.

The previous prime is 3683319539. The next prime is 3683319553. The reversal of 3683319552 is 2559133863.

It is a happy number.

3683319552 is a `hidden beast` number, since 3 + 6 + 83 + 3 + 19 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3683319498 and 3683319507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683319553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35760333 + ... + 35760435.

It is an arithmetic number, because the mean of its divisors is an integer number (29016624).

Almost surely, 2^3683319552 is an apocalyptic number.

3683319552 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 3683319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267590784).

3683319552 is an abundant number, since it is smaller than the sum of its proper divisors (8851862016).

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

3683319552 is a wasteful number, since it uses less digits than its factorization.

3683319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 3683319552 is about 60690.3579821375. The cubic root of 3683319552 is about 1544.3526090249.

The spelling of 3683319552 in words is "three billion, six hundred eighty-three million, three hundred nineteen thousand, five hundred fifty-two".