3686858640 has 160 divisors (see below), whose sum is σ = 12731149440. Its totient is φ = 980688384.

The previous prime is 3686858639. The next prime is 3686858671. The reversal of 3686858640 is 468586863.

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

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, 954954 + ... + 958806.

It is an arithmetic number, because the mean of its divisors is an integer number (79569684).

Almost surely, 2^3686858640 is an apocalyptic number.

3686858640 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 3686858640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365574720).

3686858640 is an abundant number, since it is smaller than the sum of its proper divisors (9044290800).

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

3686858640 is a wasteful number, since it uses less digits than its factorization.

3686858640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 3686858640 is about 60719.5079031443. The cubic root of 3686858640 is about 1544.8470769559.

The spelling of 3686858640 in words is "three billion, six hundred eighty-six million, eight hundred fifty-eight thousand, six hundred forty".