3134514240 has 896 divisors, whose sum is σ = 13518489600. Its totient is φ = 673505280.

The previous prime is 3134514239. The next prime is 3134514259. The reversal of 3134514240 is 424154313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53127331 + ... + 53127389.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^3134514240 is an apocalyptic number.

3134514240 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 3134514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759244800).

3134514240 is an abundant number, since it is smaller than the sum of its proper divisors (10383975360).

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

3134514240 is a wasteful number, since it uses less digits than its factorization.

3134514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3134514240 is about 55986.7327140993. The cubic root of 3134514240 is about 1463.4910889032.

Adding to 3134514240 its reverse (424154313), we get a palindrome (3558668553).

The spelling of 3134514240 in words is "three billion, one hundred thirty-four million, five hundred fourteen thousand, two hundred forty".