3144759074640 has 640 divisors, whose sum is σ = 11736148838400. Its totient is φ = 771026780160.

The previous prime is 3144759074629. The next prime is 3144759074647. The reversal of 3144759074640 is 464709574413.

3144759074640 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 7 + 590 + 7 + 4 + 6 + 40 = 666.

It is a super-3 number, since 3×3144759074640³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144759074647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465128860 + ... + 465135620.

It is an arithmetic number, because the mean of its divisors is an integer number (18337732560).

Almost surely, 2^{3144759074640} is an apocalyptic number.

3144759074640 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 3144759074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868074419200).

3144759074640 is an abundant number, since it is smaller than the sum of its proper divisors (8591389763760).

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

3144759074640 is a wasteful number, since it uses less digits than its factorization.

3144759074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3144759074640 in words is "three trillion, one hundred forty-four billion, seven hundred fifty-nine million, seventy-four thousand, six hundred forty".