3180537680 has 80 divisors (see below), whose sum is σ = 7805899200. Its totient is φ = 1201858560.

The previous prime is 3180537641. The next prime is 3180537707. The reversal of 3180537680 is 867350813.

3180537680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 573320 + ... + 578840.

It is an arithmetic number, because the mean of its divisors is an integer number (97573740).

Almost surely, 2^3180537680 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 3180537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902949600).

3180537680 is an abundant number, since it is smaller than the sum of its proper divisors (4625361520).

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

3180537680 is a wasteful number, since it uses less digits than its factorization.

3180537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 3180537680 is about 56396.2559040935. The cubic root of 3180537680 is about 1470.6190306285.

The spelling of 3180537680 in words is "three billion, one hundred eighty million, five hundred thirty-seven thousand, six hundred eighty".