3686258160 has 200 divisors, whose sum is σ = 13788075840. Its totient is φ = 907365888.

The previous prime is 3686258137. The next prime is 3686258161. The reversal of 3686258160 is 618526863.

3686258160 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 2 + 581 + 60 = 666.

It is a super-4 number, since 4×3686258160⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686258161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62361 + ... + 106119.

Almost surely, 2^3686258160 is an apocalyptic number.

3686258160 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 3686258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894037920).

3686258160 is an abundant number, since it is smaller than the sum of its proper divisors (10101817680).

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

3686258160 is a wasteful number, since it uses less digits than its factorization.

3686258160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43797 (or 43782 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3686258160 is about 60714.5629976861. The cubic root of 3686258160 is about 1544.7632024681.

The spelling of 3686258160 in words is "three billion, six hundred eighty-six million, two hundred fifty-eight thousand, one hundred sixty".