3134354352640 has 480 divisors, whose sum is σ = 9353457590400. Its totient is φ = 1001339781120.

The previous prime is 3134354352629. The next prime is 3134354352677. The reversal of 3134354352640 is 462534534313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145374181 + ... + 145395739.

It is an arithmetic number, because the mean of its divisors is an integer number (19486369980).

Almost surely, 2^{3134354352640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134354352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676728795200).

3134354352640 is an abundant number, since it is smaller than the sum of its proper divisors (6219103237760).

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

3134354352640 is a wasteful number, since it uses less digits than its factorization.

3134354352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21676 (or 21653 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

Adding to 3134354352640 its reverse (462534534313), we get a palindrome (3596888886953).

The spelling of 3134354352640 in words is "three trillion, one hundred thirty-four billion, three hundred fifty-four million, three hundred fifty-two thousand, six hundred forty".