3877518960 has 300 divisors, whose sum is σ = 15198203592. Its totient is φ = 885894912.

The previous prime is 3877518877. The next prime is 3877518989. The reversal of 3877518960 is 698157783.

3877518960 is a `hidden beast` number, since 38 + 7 + 7 + 518 + 96 + 0 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3877518897 and 3877518906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1727599 + ... + 1729841.

Almost surely, 2^3877518960 is an apocalyptic number.

3877518960 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 3877518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599101796).

3877518960 is an abundant number, since it is smaller than the sum of its proper divisors (11320684632).

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

3877518960 is a wasteful number, since it uses less digits than its factorization.

3877518960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3877518960 is about 62269.7274765194. The cubic root of 3877518960 is about 1571.0305970859.

The spelling of 3877518960 in words is "three billion, eight hundred seventy-seven million, five hundred eighteen thousand, nine hundred sixty".