3111799680 has 768 divisors, whose sum is σ = 12991829760. Its totient is φ = 703365120.

The previous prime is 3111799667. The next prime is 3111799681. The reversal of 3111799680 is 869971113.

3111799680 is a `hidden beast` number, since 311 + 179 + 96 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111799681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29082187 + ... + 29082293.

It is an arithmetic number, because the mean of its divisors is an integer number (16916445).

Almost surely, 2^3111799680 is an apocalyptic number.

3111799680 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 3111799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495914880).

3111799680 is an abundant number, since it is smaller than the sum of its proper divisors (9880030080).

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

3111799680 is a wasteful number, since it uses less digits than its factorization.

3111799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 3111799680 is about 55783.5072400436. The cubic root of 3111799680 is about 1459.9474053738.

It can be divided in two parts, 31 and 11799680, that added together give a palindrome (11799711).

The spelling of 3111799680 in words is "three billion, one hundred eleven million, seven hundred ninety-nine thousand, six hundred eighty".