3683670000552 has 96 divisors (see below), whose sum is σ = 10095513667200. Its totient is φ = 1213273873152.

The previous prime is 3683670000541. The next prime is 3683670000553. The reversal of 3683670000552 is 2550000763863.

3683670000552 is a `hidden beast` number, since 3 + 68 + 36 + 7 + 0 + 0 + 0 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3683670000498 and 3683670000507.

It is not an unprimeable number, because it can be changed into a prime (3683670000553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9335403 + ... + 9721989.

It is an arithmetic number, because the mean of its divisors is an integer number (105161600700).

Almost surely, 2^{3683670000552} 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 3683670000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047756833600).

3683670000552 is an abundant number, since it is smaller than the sum of its proper divisors (6411843666648).

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

3683670000552 is a wasteful number, since it uses less digits than its factorization.

3683670000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388175 (or 388168 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3683670000552 in words is "three trillion, six hundred eighty-three billion, six hundred seventy million, five hundred fifty-two", and thus it is an aban number.