3712616560 has 80 divisors (see below), whose sum is σ = 8939677824. Its totient is φ = 1432924416.

The previous prime is 3712616533. The next prime is 3712616597. The reversal of 3712616560 is 656162173.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279019 + ... + 292021.

Almost surely, 2^3712616560 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 3712616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469838912).

3712616560 is an abundant number, since it is smaller than the sum of its proper divisors (5227061264).

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

3712616560 is a wasteful number, since it uses less digits than its factorization.

3712616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142 (or 13136 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 3712616560 is about 60931.2445302080. The cubic root of 3712616560 is about 1548.4363780749.

The spelling of 3712616560 in words is "three billion, seven hundred twelve million, six hundred sixteen thousand, five hundred sixty".