3857686560 has 480 divisors, whose sum is σ = 16761330432. Its totient is φ = 813680640.

The previous prime is 3857686549. The next prime is 3857686561. The reversal of 3857686560 is 656867583.

3857686560 is a `hidden beast` number, since 3 + 8 + 5 + 76 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3857686560³ (a number of 30 digits) contains 333 as substring.

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 = 3857686497 and 3857686506.

It is not an unprimeable number, because it can be changed into a prime (3857686561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1177725 + ... + 1180995.

Almost surely, 2^3857686560 is an apocalyptic number.

3857686560 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 3857686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380665216).

3857686560 is an abundant number, since it is smaller than the sum of its proper divisors (12903643872).

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

3857686560 is a wasteful number, since it uses less digits than its factorization.

3857686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 3857686560 is about 62110.2774104254. The cubic root of 3857686560 is about 1568.3475602239.

The spelling of 3857686560 in words is "three billion, eight hundred fifty-seven million, six hundred eighty-six thousand, five hundred sixty".