3809553998768 has 160 divisors (see below), whose sum is σ = 8887897090560. Its totient is φ = 1547384186880.

The previous prime is 3809553998743. The next prime is 3809553998771. The reversal of 3809553998768 is 8678993559083.

It is a junction number, because it is equal to n+sod(n) for n = 3809553998692 and 3809553998701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49990871 + ... + 50067017.

It is an arithmetic number, because the mean of its divisors is an integer number (55549356816).

Almost surely, 2^{3809553998768} 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 3809553998768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443948545280).

3809553998768 is an abundant number, since it is smaller than the sum of its proper divisors (5078343091792).

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

3809553998768 is a wasteful number, since it uses less digits than its factorization.

3809553998768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76475 (or 76469 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 80.

The spelling of 3809553998768 in words is "three trillion, eight hundred nine billion, five hundred fifty-three million, nine hundred ninety-eight thousand, seven hundred sixty-eight".