3141126240 has 192 divisors, whose sum is σ = 11415043584. Its totient is φ = 711180288.

The previous prime is 3141126223. The next prime is 3141126257. The reversal of 3141126240 is 426211413.

It is an interprime number because it is at equal distance from previous prime (3141126223) and next prime (3141126257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3141126240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355152 + ... + 363888.

It is an arithmetic number, because the mean of its divisors is an integer number (59453352).

Almost surely, 2^3141126240 is an apocalyptic number.

3141126240 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 3141126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707521792).

3141126240 is an abundant number, since it is smaller than the sum of its proper divisors (8273917344).

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

3141126240 is a wasteful number, since it uses less digits than its factorization.

3141126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3141126240 is about 56045.7513108710. The cubic root of 3141126240 is about 1464.5194042233.

Adding to 3141126240 its reverse (426211413), we get a palindrome (3567337653).

The spelling of 3141126240 in words is "three billion, one hundred forty-one million, one hundred twenty-six thousand, two hundred forty".