3800589605568 has 560 divisors, whose sum is σ = 13680180391680. Its totient is φ = 1019096930304.

The previous prime is 3800589605543. The next prime is 3800589605611. The reversal of 3800589605568 is 8655069850083.

3800589605568 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 5 + 8 + 9 + 60 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73747746 + ... + 73799262.

Almost surely, 2^{3800589605568} is an apocalyptic number.

3800589605568 is a gapful number since it is divisible by the number (38) 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 3800589605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840090195840).

3800589605568 is an abundant number, since it is smaller than the sum of its proper divisors (9879590786112).

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

3800589605568 is a wasteful number, since it uses less digits than its factorization.

3800589605568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51674 (or 51655 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 3800589605568 in words is "three trillion, eight hundred billion, five hundred eighty-nine million, six hundred five thousand, five hundred sixty-eight".