3608771781888 has 1080 divisors, whose sum is σ = 13946766067080. Its totient is φ = 918846996480.

The previous prime is 3608771781887. The next prime is 3608771781899. The reversal of 3608771781888 is 8881871778063.

3608771781888 is a `hidden beast` number, since 3 + 608 + 7 + 7 + 1 + 7 + 8 + 1 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51896484864 + 3556875297024 = 227808^2 + 1885968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3608771781883) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 383051418 + ... + 383060838.

Almost surely, 2^{3608771781888} 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 3608771781888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973383033540).

3608771781888 is an abundant number, since it is smaller than the sum of its proper divisors (10337994285192).

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

3608771781888 is a wasteful number, since it uses less digits than its factorization.

3608771781888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 202309632, while the sum is 72.

The spelling of 3608771781888 in words is "three trillion, six hundred eight billion, seven hundred seventy-one million, seven hundred eighty-one thousand, eight hundred eighty-eight".