3112777680 has 160 divisors (see below), whose sum is σ = 10096496640. Its totient is φ = 791831040.

The previous prime is 3112777667. The next prime is 3112777691. The reversal of 3112777680 is 867772113.

It is a happy number.

3112777680 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 hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416425 + ... + 3417335.

It is an arithmetic number, because the mean of its divisors is an integer number (63103104).

Almost surely, 2^3112777680 is an apocalyptic number.

3112777680 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 3112777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048248320).

3112777680 is an abundant number, since it is smaller than the sum of its proper divisors (6983718960).

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

3112777680 is a wasteful number, since it uses less digits than its factorization.

3112777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 3112777680 is about 55792.2725832171. The cubic root of 3112777680 is about 1460.1003371338.

The spelling of 3112777680 in words is "three billion, one hundred twelve million, seven hundred seventy-seven thousand, six hundred eighty".