3835677161888 has 384 divisors, whose sum is σ = 9488590884864. Its totient is φ = 1501419110400.

The previous prime is 3835677161863. The next prime is 3835677161941. The reversal of 3835677161888 is 8881617765383.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 726313808 + ... + 726319088.

It is an arithmetic number, because the mean of its divisors is an integer number (24709872096).

Almost surely, 2^{3835677161888} 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 3835677161888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744295442432).

3835677161888 is an abundant number, since it is smaller than the sum of its proper divisors (5652913722976).

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

3835677161888 is a wasteful number, since it uses less digits than its factorization.

3835677161888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5500 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 71.

The spelling of 3835677161888 in words is "three trillion, eight hundred thirty-five billion, six hundred seventy-seven million, one hundred sixty-one thousand, eight hundred eighty-eight".