3877666560 has 576 divisors, whose sum is σ = 14702083200. Its totient is φ = 966131712.

The previous prime is 3877666511. The next prime is 3877666571. The reversal of 3877666560 is 656667783.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3877666497 and 3877666506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53118684 + ... + 53118756.

It is an arithmetic number, because the mean of its divisors is an integer number (25524450).

Almost surely, 2^3877666560 is an apocalyptic number.

3877666560 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 3877666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351041600).

3877666560 is an abundant number, since it is smaller than the sum of its proper divisors (10824416640).

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

3877666560 is a wasteful number, since it uses less digits than its factorization.

3877666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 3877666560 is about 62270.9126318219. The cubic root of 3877666560 is about 1571.0505308955.

The spelling of 3877666560 in words is "three billion, eight hundred seventy-seven million, six hundred sixty-six thousand, five hundred sixty".