3117144240 has 480 divisors, whose sum is σ = 12568338432. Its totient is φ = 677376000.

The previous prime is 3117144221. The next prime is 3117144241. The reversal of 3117144240 is 424417113.

3117144240 is a `hidden beast` number, since 311 + 71 + 44 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (3117144241) 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 95 ways as a sum of consecutive naturals, for example, 11092900 + ... + 11093180.

Almost surely, 2^3117144240 is an apocalyptic number.

3117144240 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 3117144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284169216).

3117144240 is an abundant number, since it is smaller than the sum of its proper divisors (9451194192).

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

3117144240 is a wasteful number, since it uses less digits than its factorization.

3117144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3117144240 is about 55831.3911702010. The cubic root of 3117144240 is about 1460.7827540935.

The spelling of 3117144240 in words is "three billion, one hundred seventeen million, one hundred forty-four thousand, two hundred forty".