3134428294338 has 96 divisors (see below), whose sum is σ = 7511469189120. Its totient is φ = 936700427520.

The previous prime is 3134428294321. The next prime is 3134428294343. The reversal of 3134428294338 is 8334928244313.

It is a happy number.

3134428294338 is a `hidden beast` number, since 3 + 1 + 3 + 442 + 82 + 94 + 3 + 38 = 666.

3134428294338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3134428294338³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

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, 6517020 + ... + 6981432.

It is an arithmetic number, because the mean of its divisors is an integer number (78244470720).

Almost surely, 2^{3134428294338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134428294338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755734594560).

3134428294338 is an abundant number, since it is smaller than the sum of its proper divisors (4377040894782).

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

3134428294338 is a wasteful number, since it uses less digits than its factorization.

3134428294338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464904 (or 464901 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 3134428294338 in words is "three trillion, one hundred thirty-four billion, four hundred twenty-eight million, two hundred ninety-four thousand, three hundred thirty-eight".