3873605760 has 256 divisors, whose sum is σ = 13866451200. Its totient is φ = 1021870080.

The previous prime is 3873605683. The next prime is 3873605783. The reversal of 3873605760 is 675063783.

3873605760 is a `hidden beast` number, since 3 + 8 + 73 + 6 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675005 + ... + 1677315.

It is an arithmetic number, because the mean of its divisors is an integer number (54165825).

Almost surely, 2^3873605760 is an apocalyptic number.

3873605760 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 3873605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933225600).

3873605760 is an abundant number, since it is smaller than the sum of its proper divisors (9992845440).

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

3873605760 is a wasteful number, since it uses less digits than its factorization.

3873605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3873605760 is about 62238.2981772477. The cubic root of 3873605760 is about 1570.5019234447.

The spelling of 3873605760 in words is "three billion, eight hundred seventy-three million, six hundred five thousand, seven hundred sixty".