3680735580 has 168 divisors, whose sum is σ = 11903976672. Its totient is φ = 954861696.

The previous prime is 3680735551. The next prime is 3680735587. The reversal of 3680735580 is 855370863.

3680735580 is a `hidden beast` number, since 3 + 68 + 0 + 7 + 3 + 5 + 580 = 666.

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 (3680735587) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 536049 + ... + 542871.

It is an arithmetic number, because the mean of its divisors is an integer number (70857004).

Almost surely, 2^3680735580 is an apocalyptic number.

3680735580 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 3680735580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951988336).

3680735580 is an abundant number, since it is smaller than the sum of its proper divisors (8223241092).

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

3680735580 is a wasteful number, since it uses less digits than its factorization.

3680735580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3680735580 is about 60669.0660880815. The cubic root of 3680735580 is about 1543.9913861860.

The spelling of 3680735580 in words is "three billion, six hundred eighty million, seven hundred thirty-five thousand, five hundred eighty".