3680137680 has 80 divisors (see below), whose sum is σ = 11623720320. Its totient is φ = 962850304.

The previous prime is 3680137667. The next prime is 3680137687. The reversal of 3680137680 is 867310863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680137687) 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 15 ways as a sum of consecutive naturals, for example, 131940 + ... + 157379.

It is an arithmetic number, because the mean of its divisors is an integer number (145296504).

Almost surely, 2^3680137680 is an apocalyptic number.

3680137680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3680137680 is an abundant number, since it is smaller than the sum of its proper divisors (7943582640).

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

3680137680 is a wasteful number, since it uses less digits than its factorization.

3680137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289388 (or 289382 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3680137680 is about 60664.1383355933. The cubic root of 3680137680 is about 1543.9077794884.

The spelling of 3680137680 in words is "three billion, six hundred eighty million, one hundred thirty-seven thousand, six hundred eighty".