3114240000 has 240 divisors, whose sum is σ = 10387737360. Its totient is φ = 829440000.

The previous prime is 3114239987. The next prime is 3114240007. The reversal of 3114240000 is 424113.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3114240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839595 + ... + 3840405.

It is an arithmetic number, because the mean of its divisors is an integer number (43282239).

Almost surely, 2^3114240000 is an apocalyptic number.

3114240000 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 3114240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193868680).

3114240000 is an abundant number, since it is smaller than the sum of its proper divisors (7273497360).

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

3114240000 is an frugal number, since it uses more digits than its factorization.

3114240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3114240000 is about 55805.3760851049. The cubic root of 3114240000 is about 1460.3289432089.

Adding to 3114240000 its reverse (424113), we get a palindrome (3114664113).

The spelling of 3114240000 in words is "three billion, one hundred fourteen million, two hundred forty thousand".