3608675508096 has 384 divisors, whose sum is σ = 11420040441600. Its totient is φ = 1121519591424.

The previous prime is 3608675508091. The next prime is 3608675508199. The reversal of 3608675508096 is 6908055768063.

3608675508096 is a `hidden beast` number, since 3 + 60 + 8 + 67 + 5 + 508 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3608675508091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106853005 + ... + 106886771.

It is an arithmetic number, because the mean of its divisors is an integer number (29739688650).

Almost surely, 2^{3608675508096} is an apocalyptic number.

3608675508096 is a gapful number since it is divisible by the number (36) 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 3608675508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710020220800).

3608675508096 is an abundant number, since it is smaller than the sum of its proper divisors (7811364933504).

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

3608675508096 is a wasteful number, since it uses less digits than its factorization.

3608675508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33931 (or 33896 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3608675508096 in words is "three trillion, six hundred eight billion, six hundred seventy-five million, five hundred eight thousand, ninety-six".