3115687680 has 648 divisors, whose sum is σ = 13034522592. Its totient is φ = 698720256.

The previous prime is 3115687657. The next prime is 3115687681. The reversal of 3115687680 is 867865113.

3115687680 is a `hidden beast` number, since 3 + 1 + 1 + 568 + 7 + 6 + 80 = 666.

3115687680 is digitally balanced in base 2 and base 4, because in such bases 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 (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1908 × 1620 × 1008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115687681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58786534 + ... + 58786586.

It is an arithmetic number, because the mean of its divisors is an integer number (20115004).

Almost surely, 2^3115687680 is an apocalyptic number.

3115687680 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 3115687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517261296).

3115687680 is an abundant number, since it is smaller than the sum of its proper divisors (9918834912).

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

3115687680 is an frugal number, since it uses more digits than its factorization.

3115687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3115687680 is about 55818.3453713920. The cubic root of 3115687680 is about 1460.5551901162. Note that the first 3 decimals are identical.

The spelling of 3115687680 in words is "three billion, one hundred fifteen million, six hundred eighty-seven thousand, six hundred eighty".