3876986880 has 336 divisors, whose sum is σ = 14491091160. Its totient is φ = 953155584.

The previous prime is 3876986863. The next prime is 3876986891. The reversal of 3876986880 is 886896783.

It can be written as a sum of positive squares in 4 ways, for example, as 3164737536 + 712249344 = 56256^2 + 26688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791916 + ... + 4792724.

Almost surely, 2^3876986880 is an apocalyptic number.

3876986880 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 3876986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245545580).

3876986880 is an abundant number, since it is smaller than the sum of its proper divisors (10614104280).

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

3876986880 is a wasteful number, since it uses less digits than its factorization.

3876986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 3876986880 is about 62265.4549489522. The cubic root of 3876986880 is about 1570.9587339344.

The spelling of 3876986880 in words is "three billion, eight hundred seventy-six million, nine hundred eighty-six thousand, eight hundred eighty".