3877335168 has 384 divisors, whose sum is σ = 12964608000. Its totient is φ = 1002792960.

The previous prime is 3877335127. The next prime is 3877335169. The reversal of 3877335168 is 8615337783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3877335168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877335169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49080153 + ... + 49080231.

It is an arithmetic number, because the mean of its divisors is an integer number (33762000).

Almost surely, 2^3877335168 is an apocalyptic number.

3877335168 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 3877335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482304000).

3877335168 is an abundant number, since it is smaller than the sum of its proper divisors (9087272832).

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

3877335168 is a wasteful number, since it uses less digits than its factorization.

3877335168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 141 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 3877335168 is about 62268.2516857507. The cubic root of 3877335168 is about 1571.0057747343.

The spelling of 3877335168 in words is "three billion, eight hundred seventy-seven million, three hundred thirty-five thousand, one hundred sixty-eight".