3809890925568 has 792 divisors, whose sum is σ = 14008686095040. Its totient is φ = 988241264640.

The previous prime is 3809890925563. The next prime is 3809890925573. The reversal of 3809890925568 is 8655290989083.

3809890925568 is a `hidden beast` number, since 38 + 0 + 9 + 8 + 9 + 0 + 9 + 25 + 568 = 666.

3809890925568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3809890925563) and next prime (3809890925573).

It is a super-2 number, since 2×3809890925568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3809890925496 and 3809890925505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3809890925563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 358100793 + ... + 358111431.

Almost surely, 2^{3809890925568} 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 3809890925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004343047520).

3809890925568 is an abundant number, since it is smaller than the sum of its proper divisors (10198795169472).

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

3809890925568 is a wasteful number, since it uses less digits than its factorization.

3809890925568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10753 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 3809890925568 in words is "three trillion, eight hundred nine billion, eight hundred ninety million, nine hundred twenty-five thousand, five hundred sixty-eight".