3114450000 has 300 divisors, whose sum is σ = 11281582620. Its totient is φ = 829440000.

The previous prime is 3114449981. The next prime is 3114450007. The reversal of 3114450000 is 544113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2694855744 + 419594256 = 51912^2 + 20484^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114450007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4049616 + ... + 4050384.

Almost surely, 2^3114450000 is an apocalyptic number.

3114450000 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 3114450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640791310).

3114450000 is an abundant number, since it is smaller than the sum of its proper divisors (8167132620).

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

3114450000 is an frugal number, since it uses more digits than its factorization.

3114450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3114450000 is about 55807.2575925390. The cubic root of 3114450000 is about 1460.3617668604.

Adding to 3114450000 its reverse (544113), we get a palindrome (3114994113).

The spelling of 3114450000 in words is "three billion, one hundred fourteen million, four hundred fifty thousand".