3119358816 has 144 divisors (see below), whose sum is σ = 10583682480. Its totient is φ = 891233280.

The previous prime is 3119358797. The next prime is 3119358817. The reversal of 3119358816 is 6188539113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3119358817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5496 + ... + 79176.

It is an arithmetic number, because the mean of its divisors is an integer number (73497795).

Almost surely, 2^3119358816 is an apocalyptic number.

3119358816 is a gapful number since it is divisible by the number (36) 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 3119358816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291841240).

3119358816 is an abundant number, since it is smaller than the sum of its proper divisors (7464323664).

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

3119358816 is a wasteful number, since it uses less digits than its factorization.

3119358816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73714 (or 73693 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 3119358816 is about 55851.2203626743. The cubic root of 3119358816 is about 1461.1286100411.

It can be divided in two parts, 31193 and 58816, that added together give a palindrome (90009).

The spelling of 3119358816 in words is "three billion, one hundred nineteen million, three hundred fifty-eight thousand, eight hundred sixteen".