3134032328784 has 640 divisors, whose sum is σ = 10021758566400. Its totient is φ = 824251299840.

The previous prime is 3134032328771. The next prime is 3134032328837. The reversal of 3134032328784 is 4878232304313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16408546129 + ... + 16408546319.

It is an arithmetic number, because the mean of its divisors is an integer number (15658997760).

Almost surely, 2^{3134032328784} 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 3134032328784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010879283200).

3134032328784 is an abundant number, since it is smaller than the sum of its proper divisors (6887726237616).

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

3134032328784 is a wasteful number, since it uses less digits than its factorization.

3134032328784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 3134032328784 in words is "three trillion, one hundred thirty-four billion, thirty-two million, three hundred twenty-eight thousand, seven hundred eighty-four".