3682653628192 has 288 divisors, whose sum is σ = 9600693056640. Its totient is φ = 1357353676800.

The previous prime is 3682653628189. The next prime is 3682653628237. The reversal of 3682653628192 is 2918263562863.

3682653628192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3682653628192.

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, 391892038 + ... + 391901434.

It is an arithmetic number, because the mean of its divisors is an integer number (33335739780).

Almost surely, 2^{3682653628192} is an apocalyptic number.

3682653628192 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 3682653628192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800346528320).

3682653628192 is an abundant number, since it is smaller than the sum of its proper divisors (5918039428448).

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

3682653628192 is a wasteful number, since it uses less digits than its factorization.

3682653628192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10197 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 3682653628192 in words is "three trillion, six hundred eighty-two billion, six hundred fifty-three million, six hundred twenty-eight thousand, one hundred ninety-two".