3877778160 has 120 divisors (see below), whose sum is σ = 13122602064. Its totient is φ = 1026155520.

The previous prime is 3877778159. The next prime is 3877778161. The reversal of 3877778160 is 618777783.

It is an interprime number because it is at equal distance from previous prime (3877778159) and next prime (3877778161).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 3877778097 and 3877778106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877778161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73764 + ... + 114876.

Almost surely, 2^3877778160 is an apocalyptic number.

3877778160 is a gapful number since it is divisible by the number (30) 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 3877778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561301032).

3877778160 is an abundant number, since it is smaller than the sum of its proper divisors (9244823904).

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

3877778160 is a wasteful number, since it uses less digits than its factorization.

3877778160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41263 (or 41254 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The square root of 3877778160 is about 62271.8087098809. The cubic root of 3877778160 is about 1571.0656024645.

The spelling of 3877778160 in words is "three billion, eight hundred seventy-seven million, seven hundred seventy-eight thousand, one hundred sixty".