3680727560 has 64 divisors (see below), whose sum is σ = 8585006400. Its totient is φ = 1418570496.

The previous prime is 3680727539. The next prime is 3680727571. The reversal of 3680727560 is 657270863.

It is a Cunningham number, because it is equal to 60669²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603647 + ... + 609713.

It is an arithmetic number, because the mean of its divisors is an integer number (134140725).

Almost surely, 2^3680727560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680727560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292503200).

3680727560 is an abundant number, since it is smaller than the sum of its proper divisors (4904278840).

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

3680727560 is a wasteful number, since it uses less digits than its factorization.

3680727560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 3680727560 is about 60668.9999917586. Note that the first 5 decimals coincide. The cubic root of 3680727560 is about 1543.9902647779.

The spelling of 3680727560 in words is "three billion, six hundred eighty million, seven hundred twenty-seven thousand, five hundred sixty".