3686347320 has 128 divisors (see below), whose sum is σ = 12325996800. Its totient is φ = 876496896.

The previous prime is 3686347307. The next prime is 3686347349. The reversal of 3686347320 is 237436863.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8794 + ... + 86313.

It is an arithmetic number, because the mean of its divisors is an integer number (96296850).

Almost surely, 2^3686347320 is an apocalyptic number.

3686347320 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 3686347320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162998400).

3686347320 is an abundant number, since it is smaller than the sum of its proper divisors (8639649480).

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

3686347320 is a wasteful number, since it uses less digits than its factorization.

3686347320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95157 (or 95153 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3686347320 is about 60715.2972487165. The cubic root of 3686347320 is about 1544.7756568298.

The spelling of 3686347320 in words is "three billion, six hundred eighty-six million, three hundred forty-seven thousand, three hundred twenty".