3887773560 has 288 divisors, whose sum is σ = 14004900000. Its totient is φ = 934602240.

The previous prime is 3887773529. The next prime is 3887773601. The reversal of 3887773560 is 653777883.

3887773560 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 7 + 73 + 560 = 666.

It is a super-2 number, since 2×3887773560² = 30229566507670147200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3887773497 and 3887773506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6490141 + ... + 6490739.

It is an arithmetic number, because the mean of its divisors is an integer number (48628125).

Almost surely, 2^3887773560 is an apocalyptic number.

3887773560 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 3887773560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002450000).

3887773560 is an abundant number, since it is smaller than the sum of its proper divisors (10117126440).

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

3887773560 is a wasteful number, since it uses less digits than its factorization.

3887773560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3887773560 is about 62352.0132794443. The cubic root of 3887773560 is about 1572.4143091487.

The spelling of 3887773560 in words is "three billion, eight hundred eighty-seven million, seven hundred seventy-three thousand, five hundred sixty".